Given numbers are 206,672,642,393,637

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

The LCM of 206,672,642,393,637 is 88288261152.

Find LCM of 206,672,642,393,637 with Prime Factorization

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

2 x 3 x 7 x 103 x 16 x 107 x 131 x 91 = 88288261152

Therefore, the lowest common multiple of 206,672,642,393,637 is 88288261152.

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.

206 x 672 x 642 x 393 x 637 = 22248641810304

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.

206 : 1, 2, 103, 206

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

642 : 1, 2, 3, 6, 107, 214, 321, 642

393 : 1, 3, 131, 393

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,672,642,393,637, is 1.

Now, the common factors can be found like this.

206:2x 103

672:2x 2x 2x 2x 2x 3x 7

642:2x 3x 107

393:3x 131

637:7x 7x 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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 22248641810304/(1x252)

LCM = 22248641810304/252

LCM = 88288261152

Thus, we can understand that the LCM of 206,672,642,393,637 is 88288261152.

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

• LCM of 148, 383, 595, 818, 476
• LCM of 906, 856, 224, 673, 554
• LCM of 173, 570, 824, 582, 498
• LCM of 105, 667, 266, 646, 130
• LCM of 367, 834, 109, 375, 481

1. What is the LCM of 206, 672, 642, 393, 637?

Answer: LCM of 206, 672, 642, 393, 637 is 88288261152.

2. How to calculate the LCM of 206, 672, 642, 393, 637?

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 206, 672, 642, 393, 637.

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}.