Given numbers are 387,264,924,931,186

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

The LCM of 387,264,924,931,186 is 982890216.

Find LCM of 387,264,924,931,186 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 129 x 2 x 1 x 133 x 31 = 982890216

Therefore, the lowest common multiple of 387,264,924,931,186 is 982890216.

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.

387 x 264 x 924 x 931 x 186 = 16347430072512

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.

387 : 1, 3, 9, 43, 129, 387

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

931 : 1, 7, 19, 49, 133, 931

186 : 1, 2, 3, 6, 31, 62, 93, 186

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,264,924,931,186, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

264:2x 2x 2x 3x 11

924:2x 2x 3x 7x 11

931:7x 7x 19

186:2x 3x 31

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 3x 7x 11 = 16632

Therefore, the value for common factors is 16632.

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 = 16347430072512/(1x16632)

LCM = 16347430072512/16632

LCM = 982890216

Thus, we can understand that the LCM of 387,264,924,931,186 is 982890216.

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

• LCM of 103, 758, 870, 449, 969
• LCM of 570, 789, 156, 611, 500
• LCM of 204, 498, 304, 595, 556
• LCM of 757, 746, 243, 724, 596
• LCM of 316, 387, 981, 158, 551

1. What is the LCM of 387, 264, 924, 931, 186?

Answer: LCM of 387, 264, 924, 931, 186 is 982890216.

2. How to calculate the LCM of 387, 264, 924, 931, 186?

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 387, 264, 924, 931, 186.

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}.