Given numbers are 456,461,363,352,902

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

The LCM of 456,461,363,352,902 is 4171526304.

Find LCM of 456,461,363,352,902 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 19 x 461 x 11 x 4 x 41 = 4171526304

Therefore, the lowest common multiple of 456,461,363,352,902 is 4171526304.

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.

456 x 461 x 363 x 352 x 902 = 24228224773632

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

461 : 1, 461

363 : 1, 3, 11, 33, 121, 363

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,461,363,352,902, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

461:461

363:3x 11x 11

352:2x 2x 2x 2x 2x 11

902:2x 11x 41

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 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 24228224773632/(1x5808)

LCM = 24228224773632/5808

LCM = 4171526304

Thus, we can understand that the LCM of 456,461,363,352,902 is 4171526304.

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

• LCM of 123, 778, 416, 534, 974
• LCM of 680, 448, 512, 669, 121
• LCM of 469, 922, 631, 758, 654
• LCM of 868, 305, 953, 324, 137
• LCM of 108, 251, 544, 980, 838

1. What is the LCM of 456, 461, 363, 352, 902?

Answer: LCM of 456, 461, 363, 352, 902 is 4171526304.

2. How to calculate the LCM of 456, 461, 363, 352, 902?

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 456, 461, 363, 352, 902.

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}.