Given numbers are 125,642,490,960,966

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

The LCM of 125,642,490,960,966 is 2894136000.

Find LCM of 125,642,490,960,966 with Prime Factorization

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

2 x 3 x 5 x 7 x 25 x 107 x 7 x 32 x 23 = 2894136000

Therefore, the lowest common multiple of 125,642,490,960,966 is 2894136000.

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.

125 x 642 x 490 x 960 x 966 = 36466113600000

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.

125 : 1, 5, 25, 125

642 : 1, 2, 3, 6, 107, 214, 321, 642

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,642,490,960,966, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

642:2x 3x 107

490:2x 5x 7x 7

960:2x 2x 2x 2x 2x 2x 3x 5

966:2x 3x 7x 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 3x 3x 5x 5x 7 = 12600

Therefore, the value for common factors is 12600.

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 = 36466113600000/(1x12600)

LCM = 36466113600000/12600

LCM = 2894136000

Thus, we can understand that the LCM of 125,642,490,960,966 is 2894136000.

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

• LCM of 500, 323, 711, 228, 750
• LCM of 352, 987, 690, 993, 252
• LCM of 773, 921, 579, 977, 212
• LCM of 165, 924, 400, 539, 511
• LCM of 681, 151, 909, 358, 931

1. What is the LCM of 125, 642, 490, 960, 966?

Answer: LCM of 125, 642, 490, 960, 966 is 2894136000.

2. How to calculate the LCM of 125, 642, 490, 960, 966?

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 125, 642, 490, 960, 966.

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}.