Given numbers are 272,364,748,414,721

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

The LCM of 272,364,748,414,721 is 5805111312.

Find LCM of 272,364,748,414,721 with Prime Factorization

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

2 x 2 x 7 x 17 x 4 x 13 x 11 x 207 x 103 = 5805111312

Therefore, the lowest common multiple of 272,364,748,414,721 is 5805111312.

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 364 x 748 x 414 x 721 = 22105863876096

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

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,364,748,414,721, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

364:2x 2x 7x 13

748:2x 2x 11x 17

414:2x 3x 3x 23

721:7x 103

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 7x 17 = 3808

Therefore, the value for common factors is 3808.

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 = 22105863876096/(1x3808)

LCM = 22105863876096/3808

LCM = 5805111312

Thus, we can understand that the LCM of 272,364,748,414,721 is 5805111312.

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

• LCM of 401, 924, 685, 982, 421
• LCM of 900, 978, 712, 905, 535
• LCM of 384, 781, 739, 678, 377
• LCM of 758, 839, 987, 440, 725
• LCM of 833, 429, 272, 385, 236

1. What is the LCM of 272, 364, 748, 414, 721?

Answer: LCM of 272, 364, 748, 414, 721 is 5805111312.

2. How to calculate the LCM of 272, 364, 748, 414, 721?

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, 364, 748, 414, 721.

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}.