Given numbers are 428,642,326,617

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

The LCM of 428,642,326,617 is 129133164.

Find LCM of 428,642,326,617 with Prime Factorization

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

2 x 107 x 2 x 3 x 163 x 617 = 129133164

Therefore, the lowest common multiple of 428,642,326,617 is 129133164.

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.

428 x 642 x 326 x 617 = 55268994192

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.

428 : 1, 2, 4, 107, 214, 428

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

326 : 1, 2, 163, 326

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,642,326,617, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

642:2x 3x 107

326:2x 163

617:617

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 107 = 428

Therefore, the value for common factors is 428.

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 = 55268994192/(1x428)

LCM = 55268994192/428

LCM = 129133164

Thus, we can understand that the LCM of 428,642,326,617 is 129133164.

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

• LCM of 576, 664, 330, 983
• LCM of 844, 618, 557, 625
• LCM of 220, 898, 599, 894
• LCM of 232, 653, 831, 668
• LCM of 416, 718, 429, 534

1. What is the LCM of 428, 642, 326, 617?

Answer: LCM of 428, 642, 326, 617 is 129133164.

2. How to calculate the LCM of 428, 642, 326, 617?

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 428, 642, 326, 617.

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}.