Given numbers are 507,129,736,121,672

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

The LCM of 507,129,736,121,672 is 13590568992.

Find LCM of 507,129,736,121,672 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 169 x 43 x 23 x 121 x 7 = 13590568992

Therefore, the lowest common multiple of 507,129,736,121,672 is 13590568992.

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.

507 x 129 x 736 x 121 x 672 = 3914083869696

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.

507 : 1, 3, 13, 39, 169, 507

129 : 1, 3, 43, 129

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

121 : 1, 11, 121

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,129,736,121,672, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

129:3x 43

736:2x 2x 2x 2x 2x 23

121:11x 11

672:2x 2x 2x 2x 2x 3x 7

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 3914083869696/(1x288)

LCM = 3914083869696/288

LCM = 13590568992

Thus, we can understand that the LCM of 507,129,736,121,672 is 13590568992.

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

• LCM of 506, 135, 496, 574, 595
• LCM of 997, 927, 964, 971, 968
• LCM of 422, 734, 189, 235, 290
• LCM of 389, 310, 941, 597, 302
• LCM of 815, 213, 456, 883, 563

1. What is the LCM of 507, 129, 736, 121, 672?

Answer: LCM of 507, 129, 736, 121, 672 is 13590568992.

2. How to calculate the LCM of 507, 129, 736, 121, 672?

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 507, 129, 736, 121, 672.

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}.