Given numbers are 364,686,497,501

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

The LCM of 364,686,497,501 is 634444356.

Find LCM of 364,686,497,501 with Prime Factorization

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

2 x 7 x 26 x 49 x 71 x 501 = 634444356

Therefore, the lowest common multiple of 364,686,497,501 is 634444356.

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.

364 x 686 x 497 x 501 = 62175546888

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

497 : 1, 7, 71, 497

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,686,497,501, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

686:2x 7x 7x 7

497:7x 71

501:3x 167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 62175546888/(1x98)

LCM = 62175546888/98

LCM = 634444356

Thus, we can understand that the LCM of 364,686,497,501 is 634444356.

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

• LCM of 167, 643, 499, 661
• LCM of 774, 700, 247, 864
• LCM of 808, 656, 684, 984
• LCM of 157, 953, 961, 158
• LCM of 284, 299, 990, 475

1. What is the LCM of 364, 686, 497, 501?

Answer: LCM of 364, 686, 497, 501 is 634444356.

2. How to calculate the LCM of 364, 686, 497, 501?

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 364, 686, 497, 501.

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}.