Given numbers are 974,456,721,172

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

The LCM of 974,456,721,172 is 6884898216.

Find LCM of 974,456,721,172 with Prime Factorization

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

2 x 2 x 487 x 114 x 721 x 43 = 6884898216

Therefore, the lowest common multiple of 974,456,721,172 is 6884898216.

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.

974 x 456 x 721 x 172 = 55079185728

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.

974 : 1, 2, 487, 974

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

721 : 1, 7, 103, 721

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,456,721,172, is 1.

Now, the common factors can be found like this.

974:2x 487

456:2x 2x 2x 3x 19

721:7x 103

172:2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 55079185728/(1x8)

LCM = 55079185728/8

LCM = 6884898216

Thus, we can understand that the LCM of 974,456,721,172 is 6884898216.

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

• LCM of 585, 146, 607, 172
• LCM of 899, 736, 136, 284
• LCM of 140, 462, 182, 286
• LCM of 246, 801, 570, 231
• LCM of 329, 213, 551, 956

1. What is the LCM of 974, 456, 721, 172?

Answer: LCM of 974, 456, 721, 172 is 6884898216.

2. How to calculate the LCM of 974, 456, 721, 172?

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 974, 456, 721, 172.

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}.