Given numbers are 979,605,119,418,924

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

The LCM of 979,605,119,418,924 is 1460922540.

Find LCM of 979,605,119,418,924 with Prime Factorization

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

2 x 7 x 11 x 89 x 55 x 17 x 19 x 6 = 1460922540

Therefore, the lowest common multiple of 979,605,119,418,924 is 1460922540.

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.

979 x 605 x 119 x 418 x 924 = 27222830610360

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.

979 : 1, 11, 89, 979

605 : 1, 5, 11, 55, 121, 605

119 : 1, 7, 17, 119

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,605,119,418,924, is 1.

Now, the common factors can be found like this.

979:11x 89

605:5x 11x 11

119:7x 17

418:2x 11x 19

924:2x 2x 3x 7x 11

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

2x 7x 11x 11x 11 = 18634

Therefore, the value for common factors is 18634.

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 = 27222830610360/(1x18634)

LCM = 27222830610360/18634

LCM = 1460922540

Thus, we can understand that the LCM of 979,605,119,418,924 is 1460922540.

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

• LCM of 790, 351, 175, 657, 373
• LCM of 792, 151, 880, 540, 766
• LCM of 154, 558, 282, 777, 549
• LCM of 972, 489, 637, 573, 789
• LCM of 711, 254, 907, 816, 723

1. What is the LCM of 979, 605, 119, 418, 924?

Answer: LCM of 979, 605, 119, 418, 924 is 1460922540.

2. How to calculate the LCM of 979, 605, 119, 418, 924?

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 979, 605, 119, 418, 924.

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}.