Given numbers are 959,312,409,117

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

The LCM of 959,312,409,117 is 367128216.

Find LCM of 959,312,409,117 with Prime Factorization

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

3 x 13 x 959 x 8 x 409 x 3 = 367128216

Therefore, the lowest common multiple of 959,312,409,117 is 367128216.

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.

959 x 312 x 409 x 117 = 14318000424

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.

959 : 1, 7, 137, 959

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

409 : 1, 409

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 959,312,409,117, is 1.

Now, the common factors can be found like this.

959:7x 137

312:2x 2x 2x 3x 13

409:409

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 13 = 39

Therefore, the value for common factors is 39.

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 = 14318000424/(1x39)

LCM = 14318000424/39

LCM = 367128216

Thus, we can understand that the LCM of 959,312,409,117 is 367128216.

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

• LCM of 129, 884, 742, 206
• LCM of 507, 558, 529, 914
• LCM of 882, 676, 328, 611
• LCM of 394, 218, 498, 837
• LCM of 851, 663, 461, 590

1. What is the LCM of 959, 312, 409, 117?

Answer: LCM of 959, 312, 409, 117 is 367128216.

2. How to calculate the LCM of 959, 312, 409, 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 959, 312, 409, 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}.