Given numbers are 130,492,314,793

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

The LCM of 130,492,314,793 is 306272460.

Find LCM of 130,492,314,793 with Prime Factorization

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

2 x 13 x 5 x 246 x 157 x 61 = 306272460

Therefore, the lowest common multiple of 130,492,314,793 is 306272460.

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.

130 x 492 x 314 x 793 = 15926167920

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

314 : 1, 2, 157, 314

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,492,314,793, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

492:2x 2x 3x 41

314:2x 157

793:13x 61

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 13 = 52

Therefore, the value for common factors is 52.

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 = 15926167920/(1x52)

LCM = 15926167920/52

LCM = 306272460

Thus, we can understand that the LCM of 130,492,314,793 is 306272460.

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

• LCM of 772, 606, 386, 961
• LCM of 844, 787, 987, 987
• LCM of 885, 956, 325, 520
• LCM of 890, 141, 647, 817
• LCM of 443, 964, 754, 566

1. What is the LCM of 130, 492, 314, 793?

Answer: LCM of 130, 492, 314, 793 is 306272460.

2. How to calculate the LCM of 130, 492, 314, 793?

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 130, 492, 314, 793.

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}.