Given numbers are 130,771,992,372,828

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

The LCM of 130,771,992,372,828 is 3430271520.

Find LCM of 130,771,992,372,828 with Prime Factorization

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

2 x 2 x 3 x 31 x 65 x 257 x 8 x 1 x 69 = 3430271520

Therefore, the lowest common multiple of 130,771,992,372,828 is 3430271520.

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 771 x 992 x 372 x 828 = 30625464130560

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

771 : 1, 3, 257, 771

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,771,992,372,828, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

771:3x 257

992:2x 2x 2x 2x 2x 31

372:2x 2x 3x 31

828:2x 2x 3x 3x 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 2x 3x 3x 31 = 8928

Therefore, the value for common factors is 8928.

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 = 30625464130560/(1x8928)

LCM = 30625464130560/8928

LCM = 3430271520

Thus, we can understand that the LCM of 130,771,992,372,828 is 3430271520.

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

• LCM of 884, 181, 113, 851, 977
• LCM of 435, 338, 854, 496, 406
• LCM of 857, 380, 379, 308, 696
• LCM of 116, 878, 798, 536, 268
• LCM of 524, 363, 775, 714, 979

1. What is the LCM of 130, 771, 992, 372, 828?

Answer: LCM of 130, 771, 992, 372, 828 is 3430271520.

2. How to calculate the LCM of 130, 771, 992, 372, 828?

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, 771, 992, 372, 828.

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}.