Given numbers are 461,327,250,386,564

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

The LCM of 461,327,250,386,564 is 683713018500.

Find LCM of 461,327,250,386,564 with Prime Factorization

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

2 x 3 x 461 x 109 x 125 x 193 x 94 = 683713018500

Therefore, the lowest common multiple of 461,327,250,386,564 is 683713018500.

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.

461 x 327 x 250 x 386 x 564 = 8204556222000

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.

461 : 1, 461

327 : 1, 3, 109, 327

250 : 1, 2, 5, 10, 25, 50, 125, 250

386 : 1, 2, 193, 386

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,327,250,386,564, is 1.

Now, the common factors can be found like this.

461:461

327:3x 109

250:2x 5x 5x 5

386:2x 193

564:2x 2x 3x 47

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8204556222000/(1x12)

LCM = 8204556222000/12

LCM = 683713018500

Thus, we can understand that the LCM of 461,327,250,386,564 is 683713018500.

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

• LCM of 173, 200, 443, 392, 172
• LCM of 280, 732, 864, 836, 881
• LCM of 152, 814, 923, 925, 882
• LCM of 231, 394, 866, 809, 644
• LCM of 547, 425, 922, 516, 616

1. What is the LCM of 461, 327, 250, 386, 564?

Answer: LCM of 461, 327, 250, 386, 564 is 683713018500.

2. How to calculate the LCM of 461, 327, 250, 386, 564?

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 461, 327, 250, 386, 564.

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}.