Given numbers are 863,252,242,414,870

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

The LCM of 863,252,242,414,870 is 87759177660.

Find LCM of 863,252,242,414,870 with Prime Factorization

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

2 x 3 x 3 x 863 x 14 x 121 x 23 x 145 = 87759177660

Therefore, the lowest common multiple of 863,252,242,414,870 is 87759177660.

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.

863 x 252 x 242 x 414 x 870 = 18955982374560

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.

863 : 1, 863

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

242 : 1, 2, 11, 22, 121, 242

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 863,252,242,414,870, is 1.

Now, the common factors can be found like this.

863:863

252:2x 2x 3x 3x 7

242:2x 11x 11

414:2x 3x 3x 23

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 18955982374560/(1x216)

LCM = 18955982374560/216

LCM = 87759177660

Thus, we can understand that the LCM of 863,252,242,414,870 is 87759177660.

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

• LCM of 587, 475, 820, 809, 974
• LCM of 257, 569, 559, 891, 293
• LCM of 517, 300, 444, 286, 389
• LCM of 844, 778, 731, 789, 364
• LCM of 734, 216, 230, 430, 888

1. What is the LCM of 863, 252, 242, 414, 870?

Answer: LCM of 863, 252, 242, 414, 870 is 87759177660.

2. How to calculate the LCM of 863, 252, 242, 414, 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 863, 252, 242, 414, 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}.