Given numbers are 457,792,506,920

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

The LCM of 457,792,506,920 is 41623560.

Find LCM of 457,792,506,920 with Prime Factorization

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

2 x 2 x 2 x 11 x 23 x 457 x 9 x 1 x 5 = 41623560

Therefore, the lowest common multiple of 457,792,506,920 is 41623560.

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.

457 x 792 x 506 x 920 = 168492170880

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.

457 : 1, 457

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

506 : 1, 2, 11, 22, 23, 46, 253, 506

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,792,506,920, is 1.

Now, the common factors can be found like this.

457:457

792:2x 2x 2x 3x 3x 11

506:2x 11x 23

920:2x 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 2x 11x 23 = 4048

Therefore, the value for common factors is 4048.

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 = 168492170880/(1x4048)

LCM = 168492170880/4048

LCM = 41623560

Thus, we can understand that the LCM of 457,792,506,920 is 41623560.

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

• LCM of 806, 498, 680, 518
• LCM of 178, 548, 213, 794
• LCM of 549, 888, 277, 812
• LCM of 123, 450, 238, 692
• LCM of 802, 678, 141, 306

1. What is the LCM of 457, 792, 506, 920?

Answer: LCM of 457, 792, 506, 920 is 41623560.

2. How to calculate the LCM of 457, 792, 506, 920?

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 457, 792, 506, 920.

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}.