Given numbers are 972,116,348,169,790

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

The LCM of 972,116,348,169,790 is 1881689940.

Find LCM of 972,116,348,169,790 with Prime Factorization

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

2 x 2 x 3 x 29 x 81 x 1 x 1 x 169 x 395 = 1881689940

Therefore, the lowest common multiple of 972,116,348,169,790 is 1881689940.

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 116 x 348 x 169 x 790 = 5238624792960

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

116 : 1, 2, 4, 29, 58, 116

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

169 : 1, 13, 169

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,116,348,169,790, is 1.

Now, the common factors can be found like this.

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

116:2x 2x 29

348:2x 2x 3x 29

169:13x 13

790:2x 5x 79

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 29 = 2784

Therefore, the value for common factors is 2784.

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 = 5238624792960/(1x2784)

LCM = 5238624792960/2784

LCM = 1881689940

Thus, we can understand that the LCM of 972,116,348,169,790 is 1881689940.

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

• LCM of 674, 504, 792, 339, 286
• LCM of 845, 766, 503, 892, 773
• LCM of 609, 431, 809, 414, 561
• LCM of 636, 746, 856, 243, 536
• LCM of 757, 353, 654, 859, 125

1. What is the LCM of 972, 116, 348, 169, 790?

Answer: LCM of 972, 116, 348, 169, 790 is 1881689940.

2. How to calculate the LCM of 972, 116, 348, 169, 790?

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, 116, 348, 169, 790.

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}.