Given numbers are 251,413,511,364

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

The LCM of 251,413,511,364 is 393504748.

Find LCM of 251,413,511,364 with Prime Factorization

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

7 x 251 x 59 x 73 x 52 = 393504748

Therefore, the lowest common multiple of 251,413,511,364 is 393504748.

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.

251 x 413 x 511 x 364 = 19281732652

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.

251 : 1, 251

413 : 1, 7, 59, 413

511 : 1, 7, 73, 511

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,413,511,364, is 1.

Now, the common factors can be found like this.

251:251

413:7x 59

511:7x 73

364:2x 2x 7x 13

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 19281732652/(1x49)

LCM = 19281732652/49

LCM = 393504748

Thus, we can understand that the LCM of 251,413,511,364 is 393504748.

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

• LCM of 327, 828, 613, 240
• LCM of 376, 592, 361, 918
• LCM of 122, 581, 805, 836
• LCM of 110, 428, 792, 768
• LCM of 310, 507, 524, 684

1. What is the LCM of 251, 413, 511, 364?

Answer: LCM of 251, 413, 511, 364 is 393504748.

2. How to calculate the LCM of 251, 413, 511, 364?

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 251, 413, 511, 364.

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}.