Given numbers are 756,352,988,165,820

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

The LCM of 756,352,988,165,820 is 3368645280.

Find LCM of 756,352,988,165,820 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 63 x 8 x 247 x 1 x 41 = 3368645280

Therefore, the lowest common multiple of 756,352,988,165,820 is 3368645280.

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.

756 x 352 x 988 x 165 x 820 = 35572894156800

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

165 : 1, 3, 5, 11, 15, 33, 55, 165

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,352,988,165,820, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

352:2x 2x 2x 2x 2x 11

988:2x 2x 13x 19

165:3x 5x 11

820:2x 2x 5x 41

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 3x 5x 11 = 10560

Therefore, the value for common factors is 10560.

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 = 35572894156800/(1x10560)

LCM = 35572894156800/10560

LCM = 3368645280

Thus, we can understand that the LCM of 756,352,988,165,820 is 3368645280.

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

• LCM of 297, 610, 854, 624, 245
• LCM of 594, 391, 290, 817, 193
• LCM of 109, 762, 876, 128, 895
• LCM of 563, 618, 768, 996, 596
• LCM of 141, 855, 681, 297, 224

1. What is the LCM of 756, 352, 988, 165, 820?

Answer: LCM of 756, 352, 988, 165, 820 is 3368645280.

2. How to calculate the LCM of 756, 352, 988, 165, 820?

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 756, 352, 988, 165, 820.

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}.