Given numbers are 576,686,508,531,421

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

The LCM of 576,686,508,531,421 is 623238727104.

Find LCM of 576,686,508,531,421 with Prime Factorization

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

2 x 2 x 3 x 3 x 16 x 343 x 127 x 59 x 421 = 623238727104

Therefore, the lowest common multiple of 576,686,508,531,421 is 623238727104.

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.

576 x 686 x 508 x 531 x 421 = 44873188351488

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

686 : 1, 2, 7, 14, 49, 98, 343, 686

508 : 1, 2, 4, 127, 254, 508

531 : 1, 3, 9, 59, 177, 531

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,686,508,531,421, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

686:2x 7x 7x 7

508:2x 2x 127

531:3x 3x 59

421:421

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 = 44873188351488/(1x72)

LCM = 44873188351488/72

LCM = 623238727104

Thus, we can understand that the LCM of 576,686,508,531,421 is 623238727104.

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

• LCM of 708, 530, 917, 690, 205
• LCM of 835, 477, 797, 527, 963
• LCM of 878, 118, 282, 402, 681
• LCM of 540, 628, 215, 784, 796
• LCM of 929, 992, 759, 256, 731

1. What is the LCM of 576, 686, 508, 531, 421?

Answer: LCM of 576, 686, 508, 531, 421 is 623238727104.

2. How to calculate the LCM of 576, 686, 508, 531, 421?

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 576, 686, 508, 531, 421.

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}.