Given numbers are 264,728,637,657,381

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

The LCM of 264,728,637,657,381 is 4677256584.

Find LCM of 264,728,637,657,381 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 11 x 1 x 7 x 219 x 127 = 4677256584

Therefore, the lowest common multiple of 264,728,637,657,381 is 4677256584.

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.

264 x 728 x 637 x 657 x 381 = 30645385138368

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

637 : 1, 7, 13, 49, 91, 637

657 : 1, 3, 9, 73, 219, 657

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,728,637,657,381, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

728:2x 2x 2x 7x 13

637:7x 7x 13

657:3x 3x 73

381:3x 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 2x 3x 3x 7x 13 = 6552

Therefore, the value for common factors is 6552.

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 = 30645385138368/(1x6552)

LCM = 30645385138368/6552

LCM = 4677256584

Thus, we can understand that the LCM of 264,728,637,657,381 is 4677256584.

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

• LCM of 390, 502, 244, 883, 377
• LCM of 811, 648, 361, 844, 900
• LCM of 123, 967, 945, 242, 805
• LCM of 967, 469, 569, 589, 390
• LCM of 748, 733, 317, 142, 842

1. What is the LCM of 264, 728, 637, 657, 381?

Answer: LCM of 264, 728, 637, 657, 381 is 4677256584.

2. How to calculate the LCM of 264, 728, 637, 657, 381?

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 264, 728, 637, 657, 381.

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}.