Given numbers are 516,531,149,458,762

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

The LCM of 516,531,149,458,762 is 395775074844.

Find LCM of 516,531,149,458,762 with Prime Factorization

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

2 x 3 x 86 x 177 x 149 x 229 x 127 = 395775074844

Therefore, the lowest common multiple of 516,531,149,458,762 is 395775074844.

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.

516 x 531 x 149 x 458 x 762 = 14247902694384

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

149 : 1, 149

458 : 1, 2, 229, 458

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,531,149,458,762, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

531:3x 3x 59

149:149

458:2x 229

762:2x 3x 127

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 3 = 36

Therefore, the value for common factors is 36.

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 = 14247902694384/(1x36)

LCM = 14247902694384/36

LCM = 395775074844

Thus, we can understand that the LCM of 516,531,149,458,762 is 395775074844.

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

• LCM of 285, 647, 955, 685, 543
• LCM of 765, 834, 721, 788, 483
• LCM of 191, 219, 868, 378, 980
• LCM of 693, 141, 166, 699, 884
• LCM of 146, 444, 617, 366, 151

1. What is the LCM of 516, 531, 149, 458, 762?

Answer: LCM of 516, 531, 149, 458, 762 is 395775074844.

2. How to calculate the LCM of 516, 531, 149, 458, 762?

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 516, 531, 149, 458, 762.

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}.