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LCM of 227, 494, 429, 131, 691

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


Find the LCM of 227, 494, 429, 131, 691 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 227, 494, 429, 131, 691. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,494,429,131,691

Given numbers are 227,494,429,131,691

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

The LCM of 227,494,429,131,691 is 334977848634.

Find LCM of 227,494,429,131,691 with Prime Factorization


13 227, 494, 429, 131, 691
227, 38, 33, 131, 691

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

13 x 227 x 38 x 33 x 131 x 691 = 334977848634

Therefore, the lowest common multiple of 227,494,429,131,691 is 334977848634.

LCM Formula to Find Lowest Common Multiple of 227,494,429,131,691

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.

227 x 494 x 429 x 131 x 691 = 4354712032242

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.

227 : 1, 227

494 : 1, 2, 13, 19, 26, 38, 247, 494

429 : 1, 3, 11, 13, 33, 39, 143, 429

131 : 1, 131

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,494,429,131,691, is 1.

Now, the common factors can be found like this.

227:227

494:2x 13x 19

429:3x 11x 13

131:131

691:691

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

13 = 13

Therefore, the value for common factors is 13.

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 = 4354712032242/(1x13)

LCM = 4354712032242/13

LCM = 334977848634

Thus, we can understand that the LCM of 227,494,429,131,691 is 334977848634.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 494, 429, 131, 691

1. What is the LCM of 227, 494, 429, 131, 691?

Answer: LCM of 227, 494, 429, 131, 691 is 334977848634.

2. How to calculate the LCM of 227, 494, 429, 131, 691?

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 227, 494, 429, 131, 691.

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}.