Given numbers are 456,952,774,272

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

The LCM of 456,952,774,272 is 14000112.

Find LCM of 456,952,774,272 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 19 x 7 x 129 x 2 = 14000112

Therefore, the lowest common multiple of 456,952,774,272 is 14000112.

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.

456 x 952 x 774 x 272 = 91392731136

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,952,774,272, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

952:2x 2x 2x 7x 17

774:2x 3x 3x 43

272:2x 2x 2x 2x 17

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 2x 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 91392731136/(2x3264)

LCM = 91392731136/6528

LCM = 14000112

Thus, we can understand that the LCM of 456,952,774,272 is 14000112.

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

• LCM of 711, 839, 925, 971
• LCM of 319, 928, 593, 544
• LCM of 434, 346, 336, 912
• LCM of 195, 662, 642, 580
• LCM of 900, 887, 842, 658

1. What is the LCM of 456, 952, 774, 272?

Answer: LCM of 456, 952, 774, 272 is 14000112.

2. How to calculate the LCM of 456, 952, 774, 272?

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 456, 952, 774, 272.

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}.