Given numbers are 130,546,207,976,528

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

The LCM of 130,546,207,976,528 is 1011170160.

Find LCM of 130,546,207,976,528 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 5 x 7 x 69 x 61 x 11 = 1011170160

Therefore, the lowest common multiple of 130,546,207,976,528 is 1011170160.

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 546 x 207 x 976 x 528 = 7571642158080

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

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

207 : 1, 3, 9, 23, 69, 207

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,546,207,976,528, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

546:2x 3x 7x 13

207:3x 3x 23

976:2x 2x 2x 2x 61

528:2x 2x 2x 2x 3x 11

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 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 7571642158080/(1x7488)

LCM = 7571642158080/7488

LCM = 1011170160

Thus, we can understand that the LCM of 130,546,207,976,528 is 1011170160.

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

• LCM of 570, 915, 127, 176, 411
• LCM of 103, 413, 752, 688, 571
• LCM of 297, 295, 879, 570, 469
• LCM of 228, 778, 769, 812, 387
• LCM of 891, 285, 628, 365, 789

1. What is the LCM of 130, 546, 207, 976, 528?

Answer: LCM of 130, 546, 207, 976, 528 is 1011170160.

2. How to calculate the LCM of 130, 546, 207, 976, 528?

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, 546, 207, 976, 528.

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}.