Given numbers are 700,386,627,914,414

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

The LCM of 700,386,627,914,414 is 2671087904100.

Find LCM of 700,386,627,914,414 with Prime Factorization

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

2 x 3 x 350 x 193 x 209 x 457 x 69 = 2671087904100

Therefore, the lowest common multiple of 700,386,627,914,414 is 2671087904100.

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.

700 x 386 x 627 x 914 x 414 = 64106109698400

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

386 : 1, 2, 193, 386

627 : 1, 3, 11, 19, 33, 57, 209, 627

914 : 1, 2, 457, 914

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,386,627,914,414, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

386:2x 193

627:3x 11x 19

914:2x 457

414:2x 3x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 64106109698400/(1x24)

LCM = 64106109698400/24

LCM = 2671087904100

Thus, we can understand that the LCM of 700,386,627,914,414 is 2671087904100.

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

• LCM of 172, 578, 786, 143, 790
• LCM of 190, 182, 780, 618, 247
• LCM of 218, 567, 241, 892, 785
• LCM of 408, 458, 475, 837, 964
• LCM of 658, 353, 497, 642, 325

1. What is the LCM of 700, 386, 627, 914, 414?

Answer: LCM of 700, 386, 627, 914, 414 is 2671087904100.

2. How to calculate the LCM of 700, 386, 627, 914, 414?

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 700, 386, 627, 914, 414.

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}.