Given numbers are 642,952,509,198,198

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

The LCM of 642,952,509,198,198 is 5133028824.

Find LCM of 642,952,509,198,198 with Prime Factorization

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

2 x 3 x 3 x 11 x 107 x 476 x 509 x 1 x 1 = 5133028824

Therefore, the lowest common multiple of 642,952,509,198,198 is 5133028824.

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.

642 x 952 x 509 x 198 x 198 = 12196076485824

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.

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

509 : 1, 509

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,952,509,198,198, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

952:2x 2x 2x 7x 17

509:509

198:2x 3x 3x 11

198:2x 3x 3x 11

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 11 = 2376

Therefore, the value for common factors is 2376.

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 = 12196076485824/(1x2376)

LCM = 12196076485824/2376

LCM = 5133028824

Thus, we can understand that the LCM of 642,952,509,198,198 is 5133028824.

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

• LCM of 541, 534, 722, 113, 773
• LCM of 569, 169, 848, 384, 930
• LCM of 939, 416, 599, 913, 845
• LCM of 664, 206, 923, 782, 651
• LCM of 862, 888, 657, 395, 354

1. What is the LCM of 642, 952, 509, 198, 198?

Answer: LCM of 642, 952, 509, 198, 198 is 5133028824.

2. How to calculate the LCM of 642, 952, 509, 198, 198?

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 642, 952, 509, 198, 198.

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}.