Given numbers are 876,130,546,564,312

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

The LCM of 876,130,546,564,312 is 37466520.

Find LCM of 876,130,546,564,312 with Prime Factorization

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

2 x 2 x 3 x 13 x 73 x 5 x 7 x 47 x 2 = 37466520

Therefore, the lowest common multiple of 876,130,546,564,312 is 37466520.

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.

876 x 130 x 546 x 564 x 312 = 10941422768640

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.

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,130,546,564,312, is 2.

Now, the common factors can be found like this.

876:2x 2x 3x 73

130:2x 5x 13

546:2x 3x 7x 13

564:2x 2x 3x 47

312:2x 2x 2x 3x 13

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 3x 13x 13 = 146016

Therefore, the value for common factors is 146016.

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 = 10941422768640/(2x146016)

LCM = 10941422768640/292032

LCM = 37466520

Thus, we can understand that the LCM of 876,130,546,564,312 is 37466520.

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

• LCM of 127, 448, 548, 948, 242
• LCM of 270, 255, 561, 284, 523
• LCM of 385, 782, 171, 159, 307
• LCM of 141, 542, 526, 720, 639
• LCM of 433, 823, 477, 376, 190

1. What is the LCM of 876, 130, 546, 564, 312?

Answer: LCM of 876, 130, 546, 564, 312 is 37466520.

2. How to calculate the LCM of 876, 130, 546, 564, 312?

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 876, 130, 546, 564, 312.

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}.