Given numbers are 992,724,427,361

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

The LCM of 992,724,427,361 is 27677402144.

Find LCM of 992,724,427,361 with Prime Factorization

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

2 x 2 x 248 x 181 x 427 x 361 = 27677402144

Therefore, the lowest common multiple of 992,724,427,361 is 27677402144.

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.

992 x 724 x 427 x 361 = 110709608576

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

724 : 1, 2, 4, 181, 362, 724

427 : 1, 7, 61, 427

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,724,427,361, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

724:2x 2x 181

427:7x 61

361:19x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 110709608576/(1x4)

LCM = 110709608576/4

LCM = 27677402144

Thus, we can understand that the LCM of 992,724,427,361 is 27677402144.

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

• LCM of 146, 965, 502, 504
• LCM of 481, 735, 424, 921
• LCM of 194, 730, 385, 922
• LCM of 421, 666, 109, 671
• LCM of 760, 910, 469, 762

1. What is the LCM of 992, 724, 427, 361?

Answer: LCM of 992, 724, 427, 361 is 27677402144.

2. How to calculate the LCM of 992, 724, 427, 361?

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 992, 724, 427, 361.

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}.