Given numbers are 572,682,686,624

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

The LCM of 572,682,686,624 is 72984912.

Find LCM of 572,682,686,624 with Prime Factorization

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

2 x 2 x 11 x 13 x 1 x 31 x 343 x 12 = 72984912

Therefore, the lowest common multiple of 572,682,686,624 is 72984912.

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.

572 x 682 x 686 x 624 = 166989478656

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.

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

686 : 1, 2, 7, 14, 49, 98, 343, 686

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,682,686,624, is 2.

Now, the common factors can be found like this.

572:2x 2x 11x 13

682:2x 11x 31

686:2x 7x 7x 7

624:2x 2x 2x 2x 3x 13

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 11x 13 = 1144

Therefore, the value for common factors is 1144.

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 = 166989478656/(2x1144)

LCM = 166989478656/2288

LCM = 72984912

Thus, we can understand that the LCM of 572,682,686,624 is 72984912.

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

• LCM of 481, 993, 522, 486
• LCM of 926, 877, 213, 187
• LCM of 483, 224, 284, 990
• LCM of 826, 501, 585, 669
• LCM of 404, 157, 507, 162

1. What is the LCM of 572, 682, 686, 624?

Answer: LCM of 572, 682, 686, 624 is 72984912.

2. How to calculate the LCM of 572, 682, 686, 624?

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 572, 682, 686, 624.

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}.