Given numbers are 272,341,388,112,420

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

The LCM of 272,341,388,112,420 is 944679120.

Find LCM of 272,341,388,112,420 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 17 x 341 x 97 x 1 x 15 = 944679120

Therefore, the lowest common multiple of 272,341,388,112,420 is 944679120.

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.

272 x 341 x 388 x 112 x 420 = 1692864983040

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.

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

341 : 1, 11, 31, 341

388 : 1, 2, 4, 97, 194, 388

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,341,388,112,420, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

341:11x 31

388:2x 2x 97

112:2x 2x 2x 2x 7

420:2x 2x 3x 5x 7

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 7 = 1792

Therefore, the value for common factors is 1792.

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 = 1692864983040/(1x1792)

LCM = 1692864983040/1792

LCM = 944679120

Thus, we can understand that the LCM of 272,341,388,112,420 is 944679120.

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

• LCM of 694, 156, 596, 941, 731
• LCM of 534, 770, 919, 228, 309
• LCM of 315, 191, 275, 164, 479
• LCM of 600, 723, 721, 839, 490
• LCM of 456, 914, 788, 176, 362

1. What is the LCM of 272, 341, 388, 112, 420?

Answer: LCM of 272, 341, 388, 112, 420 is 944679120.

2. How to calculate the LCM of 272, 341, 388, 112, 420?

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 272, 341, 388, 112, 420.

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}.