Given numbers are 979,325,312

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

The LCM of 979,325,312 is 7636200.

Find LCM of 979,325,312 with Prime Factorization

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

13 x 979 x 25 x 24 = 7636200

Therefore, the lowest common multiple of 979,325,312 is 7636200.

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.

979 x 325 x 312 = 99270600

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.

979 : 1, 11, 89, 979

325 : 1, 5, 13, 25, 65, 325

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,325,312, is 1.

Now, the common factors can be found like this.

979:11x 89

325:5x 5x 13

312:2x 2x 2x 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.

13 = 13

Therefore, the value for common factors is 13.

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 = 99270600/(1x13)

LCM = 99270600/13

LCM = 7636200

Thus, we can understand that the LCM of 979,325,312 is 7636200.

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

• LCM of 451, 349, 417
• LCM of 423, 849, 315
• LCM of 854, 794, 249
• LCM of 984, 709, 857
• LCM of 154, 741, 368

1. What is the LCM of 979, 325, 312?

Answer: LCM of 979, 325, 312 is 7636200.

2. How to calculate the LCM of 979, 325, 312?

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 979, 325, 312.

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}.