Given numbers are 312,167,247,117

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

The LCM of 312,167,247,117 is 2969928.

Find LCM of 312,167,247,117 with Prime Factorization

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

3 x 13 x 8 x 167 x 19 x 3 = 2969928

Therefore, the lowest common multiple of 312,167,247,117 is 2969928.

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.

312 x 167 x 247 x 117 = 1505753496

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

167 : 1, 167

247 : 1, 13, 19, 247

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,167,247,117, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

167:167

247:13x 19

117:3x 3x 13

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

3x 13x 13 = 507

Therefore, the value for common factors is 507.

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 = 1505753496/(1x507)

LCM = 1505753496/507

LCM = 2969928

Thus, we can understand that the LCM of 312,167,247,117 is 2969928.

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

• LCM of 957, 928, 223, 647
• LCM of 884, 755, 710, 914
• LCM of 785, 457, 243, 124
• LCM of 982, 953, 974, 698
• LCM of 243, 500, 626, 272

1. What is the LCM of 312, 167, 247, 117?

Answer: LCM of 312, 167, 247, 117 is 2969928.

2. How to calculate the LCM of 312, 167, 247, 117?

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 312, 167, 247, 117.

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}.