Given numbers are 117,220,128,613

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

The LCM of 117,220,128,613 is 504915840.

Find LCM of 117,220,128,613 with Prime Factorization

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

2 x 2 x 117 x 55 x 32 x 613 = 504915840

Therefore, the lowest common multiple of 117,220,128,613 is 504915840.

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.

117 x 220 x 128 x 613 = 2019663360

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.

117 : 1, 3, 9, 13, 39, 117

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,220,128,613, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

220:2x 2x 5x 11

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

613:613

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2019663360/(1x4)

LCM = 2019663360/4

LCM = 504915840

Thus, we can understand that the LCM of 117,220,128,613 is 504915840.

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

• LCM of 976, 677, 995, 268
• LCM of 722, 337, 843, 360
• LCM of 580, 185, 653, 933
• LCM of 838, 457, 461, 644
• LCM of 867, 738, 459, 521

1. What is the LCM of 117, 220, 128, 613?

Answer: LCM of 117, 220, 128, 613 is 504915840.

2. How to calculate the LCM of 117, 220, 128, 613?

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 117, 220, 128, 613.

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}.