Given numbers are 312,808,472,974

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

The LCM of 312,808,472,974 is 905434296.

Find LCM of 312,808,472,974 with Prime Factorization

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

2 x 2 x 2 x 39 x 101 x 59 x 487 = 905434296

Therefore, the lowest common multiple of 312,808,472,974 is 905434296.

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 808 x 472 x 974 = 115895589888

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

472 : 1, 2, 4, 8, 59, 118, 236, 472

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,808,472,974, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

808:2x 2x 2x 101

472:2x 2x 2x 59

974:2x 487

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

2x 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 115895589888/(2x64)

LCM = 115895589888/128

LCM = 905434296

Thus, we can understand that the LCM of 312,808,472,974 is 905434296.

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

• LCM of 485, 300, 758, 192
• LCM of 471, 657, 840, 931
• LCM of 785, 385, 902, 896
• LCM of 732, 843, 628, 933
• LCM of 191, 224, 744, 298

1. What is the LCM of 312, 808, 472, 974?

Answer: LCM of 312, 808, 472, 974 is 905434296.

2. How to calculate the LCM of 312, 808, 472, 974?

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, 808, 472, 974.

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}.