Given numbers are 456,478,514,972

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

The LCM of 456,478,514,972 is 2268719928.

Find LCM of 456,478,514,972 with Prime Factorization

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

2 x 2 x 3 x 38 x 239 x 257 x 81 = 2268719928

Therefore, the lowest common multiple of 456,478,514,972 is 2268719928.

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 478 x 514 x 972 = 108898556544

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

478 : 1, 2, 239, 478

514 : 1, 2, 257, 514

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,478,514,972, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

478:2x 239

514:2x 257

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

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 3 = 24

Therefore, the value for common factors is 24.

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 = 108898556544/(2x24)

LCM = 108898556544/48

LCM = 2268719928

Thus, we can understand that the LCM of 456,478,514,972 is 2268719928.

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

• LCM of 613, 994, 311, 704
• LCM of 610, 859, 499, 965
• LCM of 527, 720, 990, 859
• LCM of 115, 691, 457, 839
• LCM of 589, 361, 548, 401

1. What is the LCM of 456, 478, 514, 972?

Answer: LCM of 456, 478, 514, 972 is 2268719928.

2. How to calculate the LCM of 456, 478, 514, 972?

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, 478, 514, 972.

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}.