Given numbers are 987,989,990,327,282

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

The LCM of 987,989,990,327,282 is 35111863710.

Find LCM of 987,989,990,327,282 with Prime Factorization

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

2 x 3 x 47 x 7 x 989 x 165 x 109 x 1 = 35111863710

Therefore, the lowest common multiple of 987,989,990,327,282 is 35111863710.

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.

987 x 989 x 990 x 327 x 282 = 89113910095980

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

989 : 1, 23, 43, 989

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

327 : 1, 3, 109, 327

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,989,990,327,282, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

989:23x 43

990:2x 3x 3x 5x 11

327:3x 109

282:2x 3x 47

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

2x 3x 3x 3x 47 = 2538

Therefore, the value for common factors is 2538.

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 = 89113910095980/(1x2538)

LCM = 89113910095980/2538

LCM = 35111863710

Thus, we can understand that the LCM of 987,989,990,327,282 is 35111863710.

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

• LCM of 570, 764, 621, 900, 955
• LCM of 800, 146, 152, 326, 963
• LCM of 890, 890, 738, 144, 701
• LCM of 950, 109, 782, 634, 787
• LCM of 768, 832, 250, 626, 896

1. What is the LCM of 987, 989, 990, 327, 282?

Answer: LCM of 987, 989, 990, 327, 282 is 35111863710.

2. How to calculate the LCM of 987, 989, 990, 327, 282?

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 987, 989, 990, 327, 282.

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}.