Given numbers are 428,687,961,676

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

The LCM of 428,687,961,676 is 47754092724.

Find LCM of 428,687,961,676 with Prime Factorization

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

2 x 2 x 107 x 687 x 961 x 169 = 47754092724

Therefore, the lowest common multiple of 428,687,961,676 is 47754092724.

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 687 x 961 x 676 = 191016370896

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

687 : 1, 3, 229, 687

961 : 1, 31, 961

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,687,961,676, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

687:3x 229

961:31x 31

676:2x 2x 13x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 191016370896/(1x4)

LCM = 191016370896/4

LCM = 47754092724

Thus, we can understand that the LCM of 428,687,961,676 is 47754092724.

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

• LCM of 677, 200, 686, 904
• LCM of 615, 166, 770, 724
• LCM of 139, 830, 365, 641
• LCM of 926, 241, 828, 379
• LCM of 670, 134, 661, 295

1. What is the LCM of 428, 687, 961, 676?

Answer: LCM of 428, 687, 961, 676 is 47754092724.

2. How to calculate the LCM of 428, 687, 961, 676?

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, 687, 961, 676.

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}.