Given numbers are 972,855,124,146,828

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

The LCM of 972,855,124,146,828 is 4806204660.

Find LCM of 972,855,124,146,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 27 x 95 x 31 x 73 x 23 = 4806204660

Therefore, the lowest common multiple of 972,855,124,146,828 is 4806204660.

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 855 x 124 x 146 x 828 = 12457682478720

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

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

124 : 1, 2, 4, 31, 62, 124

146 : 1, 2, 73, 146

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,855,124,146,828, is 1.

Now, the common factors can be found like this.

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

855:3x 3x 5x 19

124:2x 2x 31

146:2x 73

828:2x 2x 3x 3x 23

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 12457682478720/(1x2592)

LCM = 12457682478720/2592

LCM = 4806204660

Thus, we can understand that the LCM of 972,855,124,146,828 is 4806204660.

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

• LCM of 680, 888, 291, 859, 695
• LCM of 556, 493, 399, 106, 965
• LCM of 198, 824, 175, 993, 242
• LCM of 708, 671, 589, 815, 384
• LCM of 794, 736, 401, 462, 696

1. What is the LCM of 972, 855, 124, 146, 828?

Answer: LCM of 972, 855, 124, 146, 828 is 4806204660.

2. How to calculate the LCM of 972, 855, 124, 146, 828?

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, 855, 124, 146, 828.

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}.