Given numbers are 731,726,331,936,961

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

The LCM of 731,726,331,936,961 is 26334797150376.

Find LCM of 731,726,331,936,961 with Prime Factorization

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

2 x 3 x 731 x 121 x 331 x 156 x 961 = 26334797150376

Therefore, the lowest common multiple of 731,726,331,936,961 is 26334797150376.

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.

731 x 726 x 331 x 936 x 961 = 158008782902256

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.

731 : 1, 17, 43, 731

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

331 : 1, 331

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,726,331,936,961, is 1.

Now, the common factors can be found like this.

731:17x 43

726:2x 3x 11x 11

331:331

936:2x 2x 2x 3x 3x 13

961:31x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 158008782902256/(1x6)

LCM = 158008782902256/6

LCM = 26334797150376

Thus, we can understand that the LCM of 731,726,331,936,961 is 26334797150376.

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

• LCM of 259, 106, 261, 984, 535
• LCM of 711, 723, 578, 584, 262
• LCM of 108, 566, 770, 979, 895
• LCM of 831, 384, 792, 997, 298
• LCM of 727, 758, 123, 379, 421

1. What is the LCM of 731, 726, 331, 936, 961?

Answer: LCM of 731, 726, 331, 936, 961 is 26334797150376.

2. How to calculate the LCM of 731, 726, 331, 936, 961?

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 731, 726, 331, 936, 961.

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}.