Given numbers are 136,614,149,456

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

The LCM of 136,614,149,456 is 354599736.

Find LCM of 136,614,149,456 with Prime Factorization

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

2 x 2 x 2 x 17 x 307 x 149 x 57 = 354599736

Therefore, the lowest common multiple of 136,614,149,456 is 354599736.

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.

136 x 614 x 149 x 456 = 5673595776

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.

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

614 : 1, 2, 307, 614

149 : 1, 149

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,614,149,456, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

614:2x 307

149:149

456:2x 2x 2x 3x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5673595776/(1x16)

LCM = 5673595776/16

LCM = 354599736

Thus, we can understand that the LCM of 136,614,149,456 is 354599736.

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

• LCM of 768, 701, 445, 278
• LCM of 556, 809, 483, 119
• LCM of 105, 564, 785, 651
• LCM of 717, 281, 428, 695
• LCM of 674, 757, 932, 366

1. What is the LCM of 136, 614, 149, 456?

Answer: LCM of 136, 614, 149, 456 is 354599736.

2. How to calculate the LCM of 136, 614, 149, 456?

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 136, 614, 149, 456.

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}.