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LCM of 127, 198, 590, 137, 272

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 127, 198, 590, 137, 272 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 127, 198, 590, 137, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 127,198,590,137,272

Given numbers are 127,198,590,137,272

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

The LCM of 127,198,590,137,272 is 138213480240.

Find LCM of 127,198,590,137,272 with Prime Factorization


2 127, 198, 590, 137, 272
127, 99, 295, 137, 136

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

2 x 127 x 99 x 295 x 137 x 136 = 138213480240

Therefore, the lowest common multiple of 127,198,590,137,272 is 138213480240.

LCM Formula to Find Lowest Common Multiple of 127,198,590,137,272

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.

127 x 198 x 590 x 137 x 272 = 552853920960

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.

127 : 1, 127

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

137 : 1, 137

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,198,590,137,272, is 1.

Now, the common factors can be found like this.

127:127

198:2x 3x 3x 11

590:2x 5x 59

137:137

272:2x 2x 2x 2x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 552853920960/(1x4)

LCM = 552853920960/4

LCM = 138213480240

Thus, we can understand that the LCM of 127,198,590,137,272 is 138213480240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 127, 198, 590, 137, 272

1. What is the LCM of 127, 198, 590, 137, 272?

Answer: LCM of 127, 198, 590, 137, 272 is 138213480240.

2. How to calculate the LCM of 127, 198, 590, 137, 272?

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 127, 198, 590, 137, 272.

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}.