Given numbers are 636,442,746,414

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

The LCM of 636,442,746,414 is 3617489772.

Find LCM of 636,442,746,414 with Prime Factorization

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

2 x 3 x 106 x 221 x 373 x 69 = 3617489772

Therefore, the lowest common multiple of 636,442,746,414 is 3617489772.

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.

636 x 442 x 746 x 414 = 86819754528

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.

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

442 : 1, 2, 13, 17, 26, 34, 221, 442

746 : 1, 2, 373, 746

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,442,746,414, is 2.

Now, the common factors can be found like this.

636:2x 2x 3x 53

442:2x 13x 17

746:2x 373

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 86819754528/(2x12)

LCM = 86819754528/24

LCM = 3617489772

Thus, we can understand that the LCM of 636,442,746,414 is 3617489772.

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

• LCM of 867, 578, 880, 379
• LCM of 701, 781, 702, 661
• LCM of 236, 779, 609, 417
• LCM of 610, 698, 567, 783
• LCM of 383, 756, 254, 827

1. What is the LCM of 636, 442, 746, 414?

Answer: LCM of 636, 442, 746, 414 is 3617489772.

2. How to calculate the LCM of 636, 442, 746, 414?

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 636, 442, 746, 414.

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}.