Given numbers are 312,922,461,421

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

The LCM of 312,922,461,421 is 60553272.

Find LCM of 312,922,461,421 with Prime Factorization

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

2 x 461 x 156 x 1 x 1 x 421 = 60553272

Therefore, the lowest common multiple of 312,922,461,421 is 60553272.

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 922 x 461 x 421 = 55830116784

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

922 : 1, 2, 461, 922

461 : 1, 461

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,922,461,421, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

922:2x 461

461:461

421:421

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

2x 461 = 922

Therefore, the value for common factors is 922.

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 = 55830116784/(1x922)

LCM = 55830116784/922

LCM = 60553272

Thus, we can understand that the LCM of 312,922,461,421 is 60553272.

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

• LCM of 792, 217, 657, 336
• LCM of 572, 960, 440, 718
• LCM of 601, 428, 767, 204
• LCM of 896, 358, 230, 200
• LCM of 824, 379, 627, 386

1. What is the LCM of 312, 922, 461, 421?

Answer: LCM of 312, 922, 461, 421 is 60553272.

2. How to calculate the LCM of 312, 922, 461, 421?

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, 922, 461, 421.

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}.