Given numbers are 914,132,976,216,671

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

The LCM of 914,132,976,216,671 is 132471504.

Find LCM of 914,132,976,216,671 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 61 x 457 x 1 x 2 x 9 x 1 = 132471504

Therefore, the lowest common multiple of 914,132,976,216,671 is 132471504.

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.

914 x 132 x 976 x 216 x 671 = 17066568803328

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.

914 : 1, 2, 457, 914

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,132,976,216,671, is 1.

Now, the common factors can be found like this.

914:2x 457

132:2x 2x 3x 11

976:2x 2x 2x 2x 61

216:2x 2x 2x 3x 3x 3

671:11x 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 2x 2x 2x 2x 3x 11x 61 = 128832

Therefore, the value for common factors is 128832.

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 = 17066568803328/(1x128832)

LCM = 17066568803328/128832

LCM = 132471504

Thus, we can understand that the LCM of 914,132,976,216,671 is 132471504.

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

• LCM of 593, 958, 228, 835, 627
• LCM of 696, 744, 663, 520, 300
• LCM of 579, 688, 179, 851, 899
• LCM of 996, 741, 321, 610, 684
• LCM of 801, 870, 409, 713, 250

1. What is the LCM of 914, 132, 976, 216, 671?

Answer: LCM of 914, 132, 976, 216, 671 is 132471504.

2. How to calculate the LCM of 914, 132, 976, 216, 671?

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 914, 132, 976, 216, 671.

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}.