Given numbers are 408,129,167,462,790

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

The LCM of 408,129,167,462,790 is 89111326920.

Find LCM of 408,129,167,462,790 with Prime Factorization

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

2 x 3 x 68 x 43 x 167 x 77 x 395 = 89111326920

Therefore, the lowest common multiple of 408,129,167,462,790 is 89111326920.

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.

408 x 129 x 167 x 462 x 790 = 3208007769120

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

129 : 1, 3, 43, 129

167 : 1, 167

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 408,129,167,462,790, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

129:3x 43

167:167

462:2x 3x 7x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 3208007769120/(1x36)

LCM = 3208007769120/36

LCM = 89111326920

Thus, we can understand that the LCM of 408,129,167,462,790 is 89111326920.

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

• LCM of 985, 546, 910, 339, 288
• LCM of 333, 809, 667, 867, 862
• LCM of 807, 355, 888, 806, 592
• LCM of 508, 634, 748, 387, 617
• LCM of 157, 701, 490, 547, 205

1. What is the LCM of 408, 129, 167, 462, 790?

Answer: LCM of 408, 129, 167, 462, 790 is 89111326920.

2. How to calculate the LCM of 408, 129, 167, 462, 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 408, 129, 167, 462, 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}.