Given numbers are 870,612,520,956,352

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

The LCM of 870,612,520,956,352 is 24262935840.

Find LCM of 870,612,520,956,352 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 29 x 51 x 13 x 239 x 44 = 24262935840

Therefore, the lowest common multiple of 870,612,520,956,352 is 24262935840.

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.

870 x 612 x 520 x 956 x 352 = 93169673625600

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

956 : 1, 2, 4, 239, 478, 956

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,612,520,956,352, is 2.

Now, the common factors can be found like this.

870:2x 3x 5x 29

612:2x 2x 3x 3x 17

520:2x 2x 2x 5x 13

956:2x 2x 239

352:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 93169673625600/(2x1920)

LCM = 93169673625600/3840

LCM = 24262935840

Thus, we can understand that the LCM of 870,612,520,956,352 is 24262935840.

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

• LCM of 414, 557, 801, 408, 385
• LCM of 317, 980, 515, 462, 463
• LCM of 221, 775, 990, 387, 136
• LCM of 123, 577, 162, 958, 673
• LCM of 641, 827, 506, 273, 965

1. What is the LCM of 870, 612, 520, 956, 352?

Answer: LCM of 870, 612, 520, 956, 352 is 24262935840.

2. How to calculate the LCM of 870, 612, 520, 956, 352?

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 870, 612, 520, 956, 352.

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}.