Given numbers are 974,490,216,172,484

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

The LCM of 974,490,216,172,484 is 134091924120.

Find LCM of 974,490,216,172,484 with Prime Factorization

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

2 x 2 x 487 x 245 x 54 x 43 x 121 = 134091924120

Therefore, the lowest common multiple of 974,490,216,172,484 is 134091924120.

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 490 x 216 x 172 x 484 = 8581883143680

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,490,216,172,484, is 2.

Now, the common factors can be found like this.

974:2x 487

490:2x 5x 7x 7

216:2x 2x 2x 3x 3x 3

172:2x 2x 43

484:2x 2x 11x 11

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 2 = 32

Therefore, the value for common factors is 32.

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 = 8581883143680/(2x32)

LCM = 8581883143680/64

LCM = 134091924120

Thus, we can understand that the LCM of 974,490,216,172,484 is 134091924120.

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

• LCM of 259, 877, 328, 340, 496
• LCM of 481, 767, 367, 688, 827
• LCM of 601, 710, 424, 420, 851
• LCM of 978, 991, 649, 658, 554
• LCM of 199, 500, 857, 748, 651

1. What is the LCM of 974, 490, 216, 172, 484?

Answer: LCM of 974, 490, 216, 172, 484 is 134091924120.

2. How to calculate the LCM of 974, 490, 216, 172, 484?

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, 490, 216, 172, 484.

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}.