Given numbers are 938,822,731,534,870

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

The LCM of 938,822,731,534,870 is 3636805256490.

Find LCM of 938,822,731,534,870 with Prime Factorization

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

2 x 3 x 469 x 137 x 731 x 89 x 145 = 3636805256490

Therefore, the lowest common multiple of 938,822,731,534,870 is 3636805256490.

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.

938 x 822 x 731 x 534 x 870 = 261849978467280

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

822 : 1, 2, 3, 6, 137, 274, 411, 822

731 : 1, 17, 43, 731

534 : 1, 2, 3, 6, 89, 178, 267, 534

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,822,731,534,870, is 1.

Now, the common factors can be found like this.

938:2x 7x 67

822:2x 3x 137

731:17x 43

534:2x 3x 89

870:2x 3x 5x 29

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 261849978467280/(1x72)

LCM = 261849978467280/72

LCM = 3636805256490

Thus, we can understand that the LCM of 938,822,731,534,870 is 3636805256490.

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

• LCM of 765, 498, 794, 870, 868
• LCM of 899, 243, 754, 833, 385
• LCM of 114, 445, 777, 995, 225
• LCM of 238, 951, 105, 503, 720
• LCM of 736, 115, 309, 881, 713

1. What is the LCM of 938, 822, 731, 534, 870?

Answer: LCM of 938, 822, 731, 534, 870 is 3636805256490.

2. How to calculate the LCM of 938, 822, 731, 534, 870?

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 938, 822, 731, 534, 870.

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}.