Given numbers are 375,644,894,293,912

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

The LCM of 375,644,894,293,912 is 801280578000.

Find LCM of 375,644,894,293,912 with Prime Factorization

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

2 x 2 x 3 x 125 x 161 x 149 x 293 x 76 = 801280578000

Therefore, the lowest common multiple of 375,644,894,293,912 is 801280578000.

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.

375 x 644 x 894 x 293 x 912 = 57692201616000

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.

375 : 1, 3, 5, 15, 25, 75, 125, 375

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

894 : 1, 2, 3, 6, 149, 298, 447, 894

293 : 1, 293

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,644,894,293,912, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

644:2x 2x 7x 23

894:2x 3x 149

293:293

912:2x 2x 2x 2x 3x 19

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 3 = 72

Therefore, the value for common factors is 72.

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 = 57692201616000/(1x72)

LCM = 57692201616000/72

LCM = 801280578000

Thus, we can understand that the LCM of 375,644,894,293,912 is 801280578000.

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

• LCM of 342, 783, 256, 211, 147
• LCM of 894, 317, 460, 884, 540
• LCM of 656, 477, 602, 685, 905
• LCM of 844, 563, 370, 184, 203
• LCM of 237, 868, 869, 150, 960

1. What is the LCM of 375, 644, 894, 293, 912?

Answer: LCM of 375, 644, 894, 293, 912 is 801280578000.

2. How to calculate the LCM of 375, 644, 894, 293, 912?

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 375, 644, 894, 293, 912.

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}.