Given numbers are 117,312,949,971,173

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

The LCM of 117,312,949,971,173 is 11477942424.

Find LCM of 117,312,949,971,173 with Prime Factorization

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

3 x 13 x 3 x 8 x 73 x 971 x 173 = 11477942424

Therefore, the lowest common multiple of 117,312,949,971,173 is 11477942424.

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 312 x 949 x 971 x 173 = 5819316808968

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

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

949 : 1, 13, 73, 949

971 : 1, 971

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,312,949,971,173, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

312:2x 2x 2x 3x 13

949:13x 73

971:971

173:173

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 = 5819316808968/(1x507)

LCM = 5819316808968/507

LCM = 11477942424

Thus, we can understand that the LCM of 117,312,949,971,173 is 11477942424.

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

• LCM of 269, 677, 577, 554, 895
• LCM of 531, 836, 201, 221, 409
• LCM of 451, 932, 123, 162, 456
• LCM of 257, 626, 889, 638, 146
• LCM of 389, 383, 746, 157, 710

1. What is the LCM of 117, 312, 949, 971, 173?

Answer: LCM of 117, 312, 949, 971, 173 is 11477942424.

2. How to calculate the LCM of 117, 312, 949, 971, 173?

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, 312, 949, 971, 173.

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}.