Given numbers are 480,762,194,704,272

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

The LCM of 480,762,194,704,272 is 2211506880.

Find LCM of 480,762,194,704,272 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 127 x 97 x 22 x 17 = 2211506880

Therefore, the lowest common multiple of 480,762,194,704,272 is 2211506880.

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.

480 x 762 x 194 x 704 x 272 = 13587498270720

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

194 : 1, 2, 97, 194

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,762,194,704,272, is 2.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

762:2x 3x 127

194:2x 97

704:2x 2x 2x 2x 2x 2x 11

272:2x 2x 2x 2x 17

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 2x 2x 2x 2x 2x 2x 2x 3 = 3072

Therefore, the value for common factors is 3072.

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 = 13587498270720/(2x3072)

LCM = 13587498270720/6144

LCM = 2211506880

Thus, we can understand that the LCM of 480,762,194,704,272 is 2211506880.

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

• LCM of 136, 522, 938, 843, 432
• LCM of 130, 404, 456, 611, 398
• LCM of 805, 981, 490, 569, 720
• LCM of 771, 698, 116, 836, 596
• LCM of 199, 672, 564, 111, 349

1. What is the LCM of 480, 762, 194, 704, 272?

Answer: LCM of 480, 762, 194, 704, 272 is 2211506880.

2. How to calculate the LCM of 480, 762, 194, 704, 272?

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 480, 762, 194, 704, 272.

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}.