Given numbers are 506,688,635,332

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

The LCM of 506,688,635,332 is 9174043120.

Find LCM of 506,688,635,332 with Prime Factorization

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

2 x 2 x 253 x 172 x 635 x 83 = 9174043120

Therefore, the lowest common multiple of 506,688,635,332 is 9174043120.

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.

506 x 688 x 635 x 332 = 73392344960

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

635 : 1, 5, 127, 635

332 : 1, 2, 4, 83, 166, 332

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,688,635,332, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

688:2x 2x 2x 2x 43

635:5x 127

332:2x 2x 83

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 73392344960/(1x8)

LCM = 73392344960/8

LCM = 9174043120

Thus, we can understand that the LCM of 506,688,635,332 is 9174043120.

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

• LCM of 367, 113, 834, 638
• LCM of 856, 688, 170, 138
• LCM of 334, 743, 146, 705
• LCM of 834, 499, 809, 948
• LCM of 195, 441, 645, 906

1. What is the LCM of 506, 688, 635, 332?

Answer: LCM of 506, 688, 635, 332 is 9174043120.

2. How to calculate the LCM of 506, 688, 635, 332?

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 506, 688, 635, 332.

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}.