Given numbers are 272,403,731,349,686

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

The LCM of 272,403,731,349,686 is 564237508016.

Find LCM of 272,403,731,349,686 with Prime Factorization

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

2 x 17 x 8 x 403 x 43 x 349 x 343 = 564237508016

Therefore, the lowest common multiple of 272,403,731,349,686 is 564237508016.

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 403 x 731 x 349 x 686 = 19184075272544

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

403 : 1, 13, 31, 403

731 : 1, 17, 43, 731

349 : 1, 349

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,403,731,349,686, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

403:13x 31

731:17x 43

349:349

686:2x 7x 7x 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 17 = 34

Therefore, the value for common factors is 34.

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 = 19184075272544/(1x34)

LCM = 19184075272544/34

LCM = 564237508016

Thus, we can understand that the LCM of 272,403,731,349,686 is 564237508016.

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

• LCM of 977, 940, 846, 614, 252
• LCM of 608, 912, 749, 504, 396
• LCM of 235, 662, 944, 329, 815
• LCM of 345, 325, 388, 690, 488
• LCM of 553, 640, 262, 343, 688

1. What is the LCM of 272, 403, 731, 349, 686?

Answer: LCM of 272, 403, 731, 349, 686 is 564237508016.

2. How to calculate the LCM of 272, 403, 731, 349, 686?

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, 403, 731, 349, 686.

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}.