Given numbers are 318,456,462,771,956

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

The LCM of 318,456,462,771,956 is 114304271928.

Find LCM of 318,456,462,771,956 with Prime Factorization

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

2 x 2 x 3 x 53 x 38 x 77 x 257 x 239 = 114304271928

Therefore, the lowest common multiple of 318,456,462,771,956 is 114304271928.

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.

318 x 456 x 462 x 771 x 956 = 49379445472896

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

771 : 1, 3, 257, 771

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,456,462,771,956, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

456:2x 2x 2x 3x 19

462:2x 3x 7x 11

771:3x 257

956:2x 2x 239

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 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 49379445472896/(1x432)

LCM = 49379445472896/432

LCM = 114304271928

Thus, we can understand that the LCM of 318,456,462,771,956 is 114304271928.

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

• LCM of 512, 488, 848, 863, 183
• LCM of 973, 103, 801, 747, 977
• LCM of 633, 232, 572, 598, 411
• LCM of 225, 159, 526, 616, 851
• LCM of 461, 774, 494, 454, 227

1. What is the LCM of 318, 456, 462, 771, 956?

Answer: LCM of 318, 456, 462, 771, 956 is 114304271928.

2. How to calculate the LCM of 318, 456, 462, 771, 956?

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 318, 456, 462, 771, 956.

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}.