Given numbers are 415,108,118,272

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

The LCM of 415,108,118,272 is 179817840.

Find LCM of 415,108,118,272 with Prime Factorization

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

2 x 2 x 415 x 27 x 59 x 68 = 179817840

Therefore, the lowest common multiple of 415,108,118,272 is 179817840.

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.

415 x 108 x 118 x 272 = 1438542720

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.

415 : 1, 5, 83, 415

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

118 : 1, 2, 59, 118

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,108,118,272, is 1.

Now, the common factors can be found like this.

415:5x 83

108:2x 2x 3x 3x 3

118:2x 59

272:2x 2x 2x 2x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1438542720/(1x8)

LCM = 1438542720/8

LCM = 179817840

Thus, we can understand that the LCM of 415,108,118,272 is 179817840.

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

• LCM of 238, 665, 170, 187
• LCM of 548, 894, 166, 963
• LCM of 884, 232, 901, 175
• LCM of 784, 258, 596, 738
• LCM of 180, 608, 399, 373

1. What is the LCM of 415, 108, 118, 272?

Answer: LCM of 415, 108, 118, 272 is 179817840.

2. How to calculate the LCM of 415, 108, 118, 272?

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 415, 108, 118, 272.

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}.