Given numbers are 409,306,976,158,920

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

The LCM of 409,306,976,158,920 is 554867755920.

Find LCM of 409,306,976,158,920 with Prime Factorization

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

2 x 2 x 2 x 409 x 153 x 122 x 79 x 115 = 554867755920

Therefore, the lowest common multiple of 409,306,976,158,920 is 554867755920.

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.

409 x 306 x 976 x 158 x 920 = 17755768189440

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.

409 : 1, 409

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

158 : 1, 2, 79, 158

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 409,306,976,158,920, is 1.

Now, the common factors can be found like this.

409:409

306:2x 3x 3x 17

976:2x 2x 2x 2x 61

158:2x 79

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 2 = 32

Therefore, the value for common factors is 32.

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 = 17755768189440/(1x32)

LCM = 17755768189440/32

LCM = 554867755920

Thus, we can understand that the LCM of 409,306,976,158,920 is 554867755920.

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

• LCM of 785, 852, 420, 567, 154
• LCM of 830, 156, 147, 742, 474
• LCM of 296, 381, 370, 109, 649
• LCM of 977, 185, 768, 542, 321
• LCM of 501, 773, 867, 638, 757

1. What is the LCM of 409, 306, 976, 158, 920?

Answer: LCM of 409, 306, 976, 158, 920 is 554867755920.

2. How to calculate the LCM of 409, 306, 976, 158, 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 409, 306, 976, 158, 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}.