Given numbers are 142,862,192,977,338

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

The LCM of 142,862,192,977,338 is 970103599296.

Find LCM of 142,862,192,977,338 with Prime Factorization

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

2 x 71 x 431 x 96 x 977 x 169 = 970103599296

Therefore, the lowest common multiple of 142,862,192,977,338 is 970103599296.

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.

142 x 862 x 192 x 977 x 338 = 7760828794368

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.

142 : 1, 2, 71, 142

862 : 1, 2, 431, 862

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

977 : 1, 977

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,862,192,977,338, is 1.

Now, the common factors can be found like this.

142:2x 71

862:2x 431

192:2x 2x 2x 2x 2x 2x 3

977:977

338:2x 13x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7760828794368/(1x8)

LCM = 7760828794368/8

LCM = 970103599296

Thus, we can understand that the LCM of 142,862,192,977,338 is 970103599296.

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

• LCM of 914, 284, 774, 247, 644
• LCM of 281, 881, 868, 778, 311
• LCM of 188, 180, 363, 941, 322
• LCM of 448, 852, 299, 788, 384
• LCM of 758, 391, 484, 873, 865

1. What is the LCM of 142, 862, 192, 977, 338?

Answer: LCM of 142, 862, 192, 977, 338 is 970103599296.

2. How to calculate the LCM of 142, 862, 192, 977, 338?

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 142, 862, 192, 977, 338.

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}.