Given numbers are 972,460,352,916

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

The LCM of 972,460,352,916 is 2252590560.

Find LCM of 972,460,352,916 with Prime Factorization

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

2 x 2 x 243 x 115 x 88 x 229 = 2252590560

Therefore, the lowest common multiple of 972,460,352,916 is 2252590560.

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 460 x 352 x 916 = 144165795840

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

916 : 1, 2, 4, 229, 458, 916

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,460,352,916, is 4.

Now, the common factors can be found like this.

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

460:2x 2x 5x 23

352:2x 2x 2x 2x 2x 11

916:2x 2x 229

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 2 = 16

Therefore, the value for common factors is 16.

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 = 144165795840/(4x16)

LCM = 144165795840/64

LCM = 2252590560

Thus, we can understand that the LCM of 972,460,352,916 is 2252590560.

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

• LCM of 298, 382, 608, 419
• LCM of 910, 677, 864, 673
• LCM of 739, 881, 884, 440
• LCM of 643, 433, 522, 253
• LCM of 621, 159, 625, 913

1. What is the LCM of 972, 460, 352, 916?

Answer: LCM of 972, 460, 352, 916 is 2252590560.

2. How to calculate the LCM of 972, 460, 352, 916?

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, 460, 352, 916.

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}.