Given numbers are 827,234,393,726,720

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

The LCM of 827,234,393,726,720 is 122698152720.

Find LCM of 827,234,393,726,720 with Prime Factorization

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

2 x 3 x 3 x 827 x 13 x 131 x 121 x 40 = 122698152720

Therefore, the lowest common multiple of 827,234,393,726,720 is 122698152720.

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.

827 x 234 x 393 x 726 x 720 = 39754201481280

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.

827 : 1, 827

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

393 : 1, 3, 131, 393

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,234,393,726,720, is 1.

Now, the common factors can be found like this.

827:827

234:2x 3x 3x 13

393:3x 131

726:2x 3x 11x 11

720:2x 2x 2x 2x 3x 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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 39754201481280/(1x324)

LCM = 39754201481280/324

LCM = 122698152720

Thus, we can understand that the LCM of 827,234,393,726,720 is 122698152720.

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

• LCM of 430, 601, 602, 413, 888
• LCM of 645, 755, 726, 188, 429
• LCM of 564, 806, 969, 173, 538
• LCM of 596, 938, 255, 604, 700
• LCM of 607, 236, 615, 379, 717

1. What is the LCM of 827, 234, 393, 726, 720?

Answer: LCM of 827, 234, 393, 726, 720 is 122698152720.

2. How to calculate the LCM of 827, 234, 393, 726, 720?

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 827, 234, 393, 726, 720.

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}.