Given numbers are 992,214,806,137,461

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

The LCM of 992,214,806,137,461 is 87148575904.

Find LCM of 992,214,806,137,461 with Prime Factorization

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

2 x 31 x 16 x 107 x 13 x 137 x 461 = 87148575904

Therefore, the lowest common multiple of 992,214,806,137,461 is 87148575904.

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 214 x 806 x 137 x 461 = 10806423412096

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

214 : 1, 2, 107, 214

806 : 1, 2, 13, 26, 31, 62, 403, 806

137 : 1, 137

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,214,806,137,461, is 1.

Now, the common factors can be found like this.

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

214:2x 107

806:2x 13x 31

137:137

461:461

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 31 = 124

Therefore, the value for common factors is 124.

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 = 10806423412096/(1x124)

LCM = 10806423412096/124

LCM = 87148575904

Thus, we can understand that the LCM of 992,214,806,137,461 is 87148575904.

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

• LCM of 870, 419, 942, 830, 813
• LCM of 851, 469, 532, 579, 165
• LCM of 273, 757, 143, 248, 161
• LCM of 404, 299, 498, 676, 641
• LCM of 724, 945, 814, 611, 374

1. What is the LCM of 992, 214, 806, 137, 461?

Answer: LCM of 992, 214, 806, 137, 461 is 87148575904.

2. How to calculate the LCM of 992, 214, 806, 137, 461?

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, 214, 806, 137, 461.

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}.