Given numbers are 411,128,514,972

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

The LCM of 411,128,514,972 is 1095140736.

Find LCM of 411,128,514,972 with Prime Factorization

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

2 x 2 x 3 x 137 x 32 x 257 x 81 = 1095140736

Therefore, the lowest common multiple of 411,128,514,972 is 1095140736.

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.

411 x 128 x 514 x 972 = 26283377664

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.

411 : 1, 3, 137, 411

128 : 1, 2, 4, 8, 16, 32, 64, 128

514 : 1, 2, 257, 514

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,128,514,972, is 1.

Now, the common factors can be found like this.

411:3x 137

128:2x 2x 2x 2x 2x 2x 2

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 = 26283377664/(1x24)

LCM = 26283377664/24

LCM = 1095140736

Thus, we can understand that the LCM of 411,128,514,972 is 1095140736.

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

• LCM of 674, 449, 560, 137
• LCM of 163, 487, 165, 299
• LCM of 714, 794, 818, 708
• LCM of 698, 745, 851, 724
• LCM of 195, 199, 565, 565

1. What is the LCM of 411, 128, 514, 972?

Answer: LCM of 411, 128, 514, 972 is 1095140736.

2. How to calculate the LCM of 411, 128, 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 411, 128, 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}.