Given numbers are 406,422,528,657,157

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

The LCM of 406,422,528,657,157 is 777599876592.

Find LCM of 406,422,528,657,157 with Prime Factorization

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

2 x 3 x 203 x 211 x 88 x 219 x 157 = 777599876592

Therefore, the lowest common multiple of 406,422,528,657,157 is 777599876592.

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.

406 x 422 x 528 x 657 x 157 = 9331198519104

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

422 : 1, 2, 211, 422

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

657 : 1, 3, 9, 73, 219, 657

157 : 1, 157

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,422,528,657,157, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

422:2x 211

528:2x 2x 2x 2x 3x 11

657:3x 3x 73

157:157

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 = 9331198519104/(1x12)

LCM = 9331198519104/12

LCM = 777599876592

Thus, we can understand that the LCM of 406,422,528,657,157 is 777599876592.

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

• LCM of 469, 539, 534, 969, 224
• LCM of 201, 192, 474, 526, 531
• LCM of 758, 235, 880, 344, 270
• LCM of 761, 677, 577, 670, 906
• LCM of 324, 315, 776, 723, 826

1. What is the LCM of 406, 422, 528, 657, 157?

Answer: LCM of 406, 422, 528, 657, 157 is 777599876592.

2. How to calculate the LCM of 406, 422, 528, 657, 157?

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 406, 422, 528, 657, 157.

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}.