Given numbers are 614,492,572,214

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

The LCM of 614,492,572,214 is 2311124244.

Find LCM of 614,492,572,214 with Prime Factorization

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

2 x 2 x 307 x 123 x 143 x 107 = 2311124244

Therefore, the lowest common multiple of 614,492,572,214 is 2311124244.

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.

614 x 492 x 572 x 214 = 36977987904

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.

614 : 1, 2, 307, 614

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,492,572,214, is 2.

Now, the common factors can be found like this.

614:2x 307

492:2x 2x 3x 41

572:2x 2x 11x 13

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 36977987904/(2x8)

LCM = 36977987904/16

LCM = 2311124244

Thus, we can understand that the LCM of 614,492,572,214 is 2311124244.

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

• LCM of 373, 794, 879, 896
• LCM of 807, 353, 176, 911
• LCM of 401, 538, 973, 539
• LCM of 426, 787, 663, 434
• LCM of 408, 599, 131, 440

1. What is the LCM of 614, 492, 572, 214?

Answer: LCM of 614, 492, 572, 214 is 2311124244.

2. How to calculate the LCM of 614, 492, 572, 214?

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 614, 492, 572, 214.

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}.