Given numbers are 924,207,559,736,416

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

The LCM of 924,207,559,736,416 is 285116832.

Find LCM of 924,207,559,736,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 13 x 23 x 77 x 3 x 43 x 1 x 1 = 285116832

Therefore, the lowest common multiple of 924,207,559,736,416 is 285116832.

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.

924 x 207 x 559 x 736 x 416 = 32735974182912

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

207 : 1, 3, 9, 23, 69, 207

559 : 1, 13, 43, 559

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,207,559,736,416, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

207:3x 3x 23

559:13x 43

736:2x 2x 2x 2x 2x 23

416:2x 2x 2x 2x 2x 13

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 2x 2x 2x 2x 2x 3x 13x 23 = 114816

Therefore, the value for common factors is 114816.

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 = 32735974182912/(1x114816)

LCM = 32735974182912/114816

LCM = 285116832

Thus, we can understand that the LCM of 924,207,559,736,416 is 285116832.

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

• LCM of 956, 443, 834, 846, 625
• LCM of 545, 746, 839, 104, 579
• LCM of 571, 816, 899, 262, 998
• LCM of 568, 494, 228, 570, 532
• LCM of 686, 554, 779, 736, 765

1. What is the LCM of 924, 207, 559, 736, 416?

Answer: LCM of 924, 207, 559, 736, 416 is 285116832.

2. How to calculate the LCM of 924, 207, 559, 736, 416?

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 924, 207, 559, 736, 416.

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}.