Given numbers are 366,840,726,269,996

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

The LCM of 366,840,726,269,996 is 138428293080.

Find LCM of 366,840,726,269,996 with Prime Factorization

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

2 x 2 x 3 x 61 x 70 x 121 x 269 x 83 = 138428293080

Therefore, the lowest common multiple of 366,840,726,269,996 is 138428293080.

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.

366 x 840 x 726 x 269 x 996 = 59801022610560

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

269 : 1, 269

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,840,726,269,996, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

840:2x 2x 2x 3x 5x 7

726:2x 3x 11x 11

269:269

996:2x 2x 3x 83

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 59801022610560/(1x432)

LCM = 59801022610560/432

LCM = 138428293080

Thus, we can understand that the LCM of 366,840,726,269,996 is 138428293080.

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

• LCM of 936, 231, 785, 117, 205
• LCM of 579, 937, 849, 522, 108
• LCM of 535, 622, 194, 809, 154
• LCM of 652, 870, 188, 561, 340
• LCM of 866, 841, 455, 636, 593

1. What is the LCM of 366, 840, 726, 269, 996?

Answer: LCM of 366, 840, 726, 269, 996 is 138428293080.

2. How to calculate the LCM of 366, 840, 726, 269, 996?

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 366, 840, 726, 269, 996.

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}.