Given numbers are 517,385,121,920

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

The LCM of 517,385,121,920 is 36624280.

Find LCM of 517,385,121,920 with Prime Factorization

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

5 x 11 x 47 x 7 x 11 x 184 = 36624280

Therefore, the lowest common multiple of 517,385,121,920 is 36624280.

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.

517 x 385 x 121 x 920 = 22157689400

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.

517 : 1, 11, 47, 517

385 : 1, 5, 7, 11, 35, 55, 77, 385

121 : 1, 11, 121

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,385,121,920, is 1.

Now, the common factors can be found like this.

517:11x 47

385:5x 7x 11

121:11x 11

920:2x 2x 2x 5x 23

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

5x 11x 11 = 605

Therefore, the value for common factors is 605.

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 = 22157689400/(1x605)

LCM = 22157689400/605

LCM = 36624280

Thus, we can understand that the LCM of 517,385,121,920 is 36624280.

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

• LCM of 608, 456, 700, 389
• LCM of 584, 696, 746, 376
• LCM of 283, 901, 868, 509
• LCM of 273, 917, 507, 473
• LCM of 164, 116, 809, 842

1. What is the LCM of 517, 385, 121, 920?

Answer: LCM of 517, 385, 121, 920 is 36624280.

2. How to calculate the LCM of 517, 385, 121, 920?

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 517, 385, 121, 920.

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}.