Given numbers are 979,317,239,312,742

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

The LCM of 979,317,239,312,742 is 8585554681704.

Find LCM of 979,317,239,312,742 with Prime Factorization

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

2 x 979 x 317 x 239 x 156 x 371 = 8585554681704

Therefore, the lowest common multiple of 979,317,239,312,742 is 8585554681704.

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 317 x 239 x 312 x 742 = 17171109363408

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

317 : 1, 317

239 : 1, 239

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,317,239,312,742, is 1.

Now, the common factors can be found like this.

979:11x 89

317:317

239:239

312:2x 2x 2x 3x 13

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17171109363408/(1x2)

LCM = 17171109363408/2

LCM = 8585554681704

Thus, we can understand that the LCM of 979,317,239,312,742 is 8585554681704.

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

• LCM of 330, 728, 899, 201, 842
• LCM of 232, 900, 459, 271, 214
• LCM of 209, 410, 159, 966, 120
• LCM of 596, 876, 475, 289, 649
• LCM of 881, 650, 204, 241, 345

1. What is the LCM of 979, 317, 239, 312, 742?

Answer: LCM of 979, 317, 239, 312, 742 is 8585554681704.

2. How to calculate the LCM of 979, 317, 239, 312, 742?

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, 317, 239, 312, 742.

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}.