Given numbers are 125,922,672,960

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

The LCM of 125,922,672,960 is 77448000.

Find LCM of 125,922,672,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 25 x 461 x 7 x 2 = 77448000

Therefore, the lowest common multiple of 125,922,672,960 is 77448000.

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 922 x 672 x 960 = 74350080000

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

922 : 1, 2, 461, 922

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,922,672,960, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

922:2x 461

672:2x 2x 2x 2x 2x 3x 7

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

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 5 = 960

Therefore, the value for common factors is 960.

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 = 74350080000/(1x960)

LCM = 74350080000/960

LCM = 77448000

Thus, we can understand that the LCM of 125,922,672,960 is 77448000.

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

• LCM of 149, 375, 736, 485
• LCM of 714, 304, 202, 745
• LCM of 282, 150, 654, 372
• LCM of 643, 316, 212, 575
• LCM of 229, 848, 773, 906

1. What is the LCM of 125, 922, 672, 960?

Answer: LCM of 125, 922, 672, 960 is 77448000.

2. How to calculate the LCM of 125, 922, 672, 960?

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, 922, 672, 960.

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}.