Given numbers are 782,572,759,460

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

The LCM of 782,572,759,460 is 3354780.

Find LCM of 782,572,759,460 with Prime Factorization

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

2 x 2 x 11 x 23 x 17 x 13 x 3 x 5 = 3354780

Therefore, the lowest common multiple of 782,572,759,460 is 3354780.

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.

782 x 572 x 759 x 460 = 156171718560

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,572,759,460, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

572:2x 2x 11x 13

759:3x 11x 23

460:2x 2x 5x 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 11x 23x 23 = 46552

Therefore, the value for common factors is 46552.

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 = 156171718560/(1x46552)

LCM = 156171718560/46552

LCM = 3354780

Thus, we can understand that the LCM of 782,572,759,460 is 3354780.

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

• LCM of 251, 260, 790, 390
• LCM of 268, 443, 142, 544
• LCM of 155, 734, 955, 101
• LCM of 672, 758, 572, 743
• LCM of 530, 488, 302, 500

1. What is the LCM of 782, 572, 759, 460?

Answer: LCM of 782, 572, 759, 460 is 3354780.

2. How to calculate the LCM of 782, 572, 759, 460?

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 782, 572, 759, 460.

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}.