What Is the Lcm of 5 and 15?

The lowest common multiple (LCM) of two whole numbers is the smallest whole number that is a multiple of both. So, the LCM of 5 and 15 is the smallest whole number that is a multiple of both 5 and 15.

To find the LCM of 5 and 15, we can use the prime factorization method. First, we need to list the prime factors of each number. The prime factors of 5 are 5 and 1; the prime factors of 15 are 3, 5, and 1. Next, we need to multiply each prime factor the greatest number of times it appears in either number. In this case, that would be 5 x 3 x 5, or 75. Therefore, the LCM of 5 and 15 is 75.

Check this out: What Is the Lcm of 3 and 8?

The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers. For example, the GCD of 8 and 12 is 4.

The GCD of 5 and 15 is 5.

There is no definitive answer to this question as the highest common factor of 5 and 15 depends on the individual's interpretation of the two numbers. However, one possible answer is that the highest common factor of 5 and 15 is 5. This is because 5 is the largest number that is a factor of both 5 and 15. Another possible answer is that the highest common factor of 5 and 15 is 3. This is because 3 is the largest number that is a factor of both 5 and 15 and is also the smallest number that is a factor of both 5 and 15.

Check this out: What Is the Lcm of 3 and 12?

What is the smallest number that is a multiple of both 5 and 15?

The answer to this question is 30. 30 is the smallest number that is a multiple of both 5 and 15.

To find this answer, we can use the least common multiple (LCM) of 5 and 15. The LCM is the smallest number that is a multiple of both 5 and 15.

To find the LCM of 5 and 15, we can start by listing the multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 640, 645, 650, 655, 660, 665, 670, 675, 680, 685, 690, 695, 700, 705, 710, 715, 720, 725, 730, 735, 740, 745, 750, 755, 760, 765, 770, 775, 780, 785, 790, 795, 800, 805, 810, 815, 820, 825, 830, 835, 840, 845, 850, 855, 860, 865, 870, 875

Consider reading: 5 30

The largest number that is a multiple of both 5 and 15 is 75.

When finding the largest number that is a multiple of both 5 and 15, we are looking for the highest number that is divisible by both 5 and 15. In other words, this number must be a multiple of the LCM (lowest common multiple) of 5 and 15, which is 15. Therefore, 75 is the largest number that is a multiple of both 5 and 15.

Worth a look: Common Multiple

The least common multiple (LCM) of two integers is the smallest integer that is a multiple of both of them. The greatest common divisor (GCD) of two integers is the largest integer that is a divisor of both of them.

The LCM of 5 and 15 is 15. The GCD of 5 and 15 is 5.

The LCM is useful when two or more numbers are being multiplied together, and you want the result to be divisible by all of the original numbers. For example, if you're multiplying 2, 3, and 4, you want the result to be divisible by 2, 3, and 4. The LCM of 2, 3, and 4 is 12, so the result will be divisible by 12.

The GCD is useful when two or more numbers are being divided, and you want the result to have the same divisors as the original numbers. For example, if you're dividing 30 by 6, you want the result to be divisible by 6. The GCD of 30 and 6 is 6, so the result will be divisible by 6.

A different take: 12 15

To find the lcm of 5 and 15, we need to find the lowest common multiple of the two numbers. The easiest way to do this is to prime factorize each number, then multiply the factors together.

For 5, we have 5 = 5*1. For 15, we have 15 = 3*5. So, the lcm of 5 and 15 is 5*3*5 = 75.

We can also use the Euclidean algorithm to find the lcm of 5 and 15. This method is a bit more complicated, but it is useful to know.

To use the Euclidean algorithm, we need to find the greatest common divisor (gcd) of 5 and 15. We do this by finding the remainder when we divide 5 by 15. We then take the remainder (5) and divide it by the previous remainder (15). We continue doing this until we get a remainder of 0.

In this case, we find that the gcd of 5 and 15 is 5. So, the lcm of 5 and 15 is 5*15 = 75.

Here's an interesting read: 3 15

The LCM of 5 and 15 is the smallest positive integer that is divisible by both 5 and 15. In mathematical terms, the LCM is the product of the two numbers divided by their greatest common divisor.

The greatest common divisor of 5 and 15 is 5, so the LCM is 5 * 15 / 5, or 15.

In the real world, the least common multiple (lcm) of 5 and 15 has many applications. For example, the lcm is used to find the smallest possible interval between two events that occur at regular intervals. For instance, suppose a musician wants to play a song at both a wedding and a funeral. The musician could play the song at the wedding every 5 minutes and at the funeral every 15 minutes. In order to play the song at both events, the musician would need to find the lcm of 5 and 15. The lcm of 5 and 15 is 75, which means the musician would need to play the song at the wedding every 75 minutes in order to play it at the funeral as well.

In another real-world example, the lcm is used to determine the length of time it will take for two people to complete a task if they work at different rates. For instance, suppose it takes one person 5 minutes to complete a task and it takes another person 15 minutes to complete the same task. If the two people work at their respective rates, the lcm of 5 and 15 can be used to find out how long it will take for both people to complete the task. In this example, the lcm of 5 and 15 is 75, which means it will take both people 75 minutes to complete the task.

For another approach, see: 5 Minutes