Given numbers are 756,642,517,617,366

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

The LCM of 756,642,517,617,366 is 1574023149468.

Find LCM of 756,642,517,617,366 with Prime Factorization

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

2 x 3 x 126 x 107 x 517 x 617 x 61 = 1574023149468

Therefore, the lowest common multiple of 756,642,517,617,366 is 1574023149468.

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 642 x 517 x 617 x 366 = 56664833380848

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

517 : 1, 11, 47, 517

617 : 1, 617

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,642,517,617,366, is 1.

Now, the common factors can be found like this.

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

642:2x 3x 107

517:11x 47

617:617

366:2x 3x 61

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 56664833380848/(1x36)

LCM = 56664833380848/36

LCM = 1574023149468

Thus, we can understand that the LCM of 756,642,517,617,366 is 1574023149468.

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

• LCM of 206, 289, 571, 505, 848
• LCM of 438, 537, 339, 615, 452
• LCM of 205, 997, 795, 343, 621
• LCM of 650, 597, 901, 798, 921
• LCM of 821, 334, 707, 938, 360

1. What is the LCM of 756, 642, 517, 617, 366?

Answer: LCM of 756, 642, 517, 617, 366 is 1574023149468.

2. How to calculate the LCM of 756, 642, 517, 617, 366?

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, 642, 517, 617, 366.

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}.