Given numbers are 972,121,528,418

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

The LCM of 972,121,528,418 is 8938512.

Find LCM of 972,121,528,418 with Prime Factorization

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

2 x 2 x 3 x 11 x 81 x 11 x 4 x 19 = 8938512

Therefore, the lowest common multiple of 972,121,528,418 is 8938512.

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.

972 x 121 x 528 x 418 = 25957438848

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

121 : 1, 11, 121

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,121,528,418, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

121:11x 11

528:2x 2x 2x 2x 3x 11

418:2x 11x 19

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 3x 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 25957438848/(1x2904)

LCM = 25957438848/2904

LCM = 8938512

Thus, we can understand that the LCM of 972,121,528,418 is 8938512.

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

• LCM of 701, 947, 954, 654
• LCM of 805, 335, 747, 479
• LCM of 976, 456, 956, 549
• LCM of 225, 753, 863, 675
• LCM of 261, 505, 231, 610

1. What is the LCM of 972, 121, 528, 418?

Answer: LCM of 972, 121, 528, 418 is 8938512.

2. How to calculate the LCM of 972, 121, 528, 418?

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 972, 121, 528, 418.

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}.