Given numbers are 675,37,635

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 675,37,635 is 3171825.

Find LCM of 675,37,635 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

5 x 135 x 37 x 127 = 3171825

Therefore, the lowest common multiple of 675,37,635 is 3171825.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

675 x 37 x 635 = 15859125

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

37 : 1, 37

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,37,635, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

37:37

635:5x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15859125/(1x5)

LCM = 15859125/5

LCM = 3171825

Thus, we can understand that the LCM of 675,37,635 is 3171825.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 830, 52, 266
• LCM of 465, 14, 484
• LCM of 927, 39, 244
• LCM of 840, 69, 964
• LCM of 900, 53, 969

1. What is the LCM of 675, 37, 635?

Answer: LCM of 675, 37, 635 is 3171825.

2. How to calculate the LCM of 675, 37, 635?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 675, 37, 635.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.