Given numbers are 756,379,430,356,416

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

The LCM of 756,379,430,356,416 is 570194220960.

Find LCM of 756,379,430,356,416 with Prime Factorization

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

2 x 2 x 189 x 379 x 215 x 89 x 104 = 570194220960

Therefore, the lowest common multiple of 756,379,430,356,416 is 570194220960.

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 379 x 430 x 356 x 416 = 18246215070720

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

379 : 1, 379

430 : 1, 2, 5, 10, 43, 86, 215, 430

356 : 1, 2, 4, 89, 178, 356

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 756,379,430,356,416, is 1.

Now, the common factors can be found like this.

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

379:379

430:2x 5x 43

356:2x 2x 89

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 2 = 32

Therefore, the value for common factors is 32.

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 = 18246215070720/(1x32)

LCM = 18246215070720/32

LCM = 570194220960

Thus, we can understand that the LCM of 756,379,430,356,416 is 570194220960.

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

• LCM of 806, 888, 190, 324, 720
• LCM of 468, 286, 943, 759, 273
• LCM of 991, 501, 313, 336, 481
• LCM of 201, 360, 747, 689, 969
• LCM of 883, 993, 446, 762, 929

1. What is the LCM of 756, 379, 430, 356, 416?

Answer: LCM of 756, 379, 430, 356, 416 is 570194220960.

2. How to calculate the LCM of 756, 379, 430, 356, 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 756, 379, 430, 356, 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}.