Given numbers are 460,620,780,572

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

The LCM of 460,620,780,572 is 6117540.

Find LCM of 460,620,780,572 with Prime Factorization

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

2 x 2 x 5 x 13 x 23 x 31 x 3 x 11 = 6117540

Therefore, the lowest common multiple of 460,620,780,572 is 6117540.

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.

460 x 620 x 780 x 572 = 127244832000

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.

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,620,780,572, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

620:2x 2x 5x 31

780:2x 2x 3x 5x 13

572:2x 2x 11x 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 2x 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 127244832000/(4x5200)

LCM = 127244832000/20800

LCM = 6117540

Thus, we can understand that the LCM of 460,620,780,572 is 6117540.

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

• LCM of 638, 466, 784, 855
• LCM of 203, 189, 468, 970
• LCM of 128, 959, 678, 818
• LCM of 138, 928, 756, 921
• LCM of 702, 801, 423, 922

1. What is the LCM of 460, 620, 780, 572?

Answer: LCM of 460, 620, 780, 572 is 6117540.

2. How to calculate the LCM of 460, 620, 780, 572?

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 460, 620, 780, 572.

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}.