Given numbers are 642,346,312,577

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

The LCM of 642,346,312,577 is 3332424264.

Find LCM of 642,346,312,577 with Prime Factorization

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

2 x 3 x 107 x 173 x 52 x 577 = 3332424264

Therefore, the lowest common multiple of 642,346,312,577 is 3332424264.

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.

642 x 346 x 312 x 577 = 39989091168

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

346 : 1, 2, 173, 346

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

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,346,312,577, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

346:2x 173

312:2x 2x 2x 3x 13

577:577

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 3 = 12

Therefore, the value for common factors is 12.

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 = 39989091168/(1x12)

LCM = 39989091168/12

LCM = 3332424264

Thus, we can understand that the LCM of 642,346,312,577 is 3332424264.

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

• LCM of 537, 650, 112, 316
• LCM of 720, 205, 320, 164
• LCM of 802, 208, 879, 342
• LCM of 846, 953, 104, 906
• LCM of 725, 261, 246, 716

1. What is the LCM of 642, 346, 312, 577?

Answer: LCM of 642, 346, 312, 577 is 3332424264.

2. How to calculate the LCM of 642, 346, 312, 577?

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 642, 346, 312, 577.

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}.