Given numbers are 564,720,232,182,484

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

The LCM of 564,720,232,182,484 is 10805754960.

Find LCM of 564,720,232,182,484 with Prime Factorization

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

2 x 2 x 2 x 3 x 47 x 30 x 29 x 91 x 121 = 10805754960

Therefore, the lowest common multiple of 564,720,232,182,484 is 10805754960.

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.

564 x 720 x 232 x 182 x 484 = 8298819809280

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.

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

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

182 : 1, 2, 7, 13, 14, 26, 91, 182

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,720,232,182,484, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

720:2x 2x 2x 2x 3x 3x 5

232:2x 2x 2x 29

182:2x 7x 13

484:2x 2x 11x 11

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 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 8298819809280/(2x384)

LCM = 8298819809280/768

LCM = 10805754960

Thus, we can understand that the LCM of 564,720,232,182,484 is 10805754960.

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

• LCM of 915, 932, 311, 124, 469
• LCM of 504, 756, 485, 581, 345
• LCM of 601, 289, 913, 863, 444
• LCM of 107, 853, 660, 485, 289
• LCM of 830, 206, 635, 525, 426

1. What is the LCM of 564, 720, 232, 182, 484?

Answer: LCM of 564, 720, 232, 182, 484 is 10805754960.

2. How to calculate the LCM of 564, 720, 232, 182, 484?

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 564, 720, 232, 182, 484.

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}.