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LCM of 663, 934, 721, 414, 132

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


Find the LCM of 663, 934, 721, 414, 132 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 663, 934, 721, 414, 132. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 663,934,721,414,132

Given numbers are 663,934,721,414,132

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

The LCM of 663,934,721,414,132 is 677746745676.

Find LCM of 663,934,721,414,132 with Prime Factorization


2 663, 934, 721, 414, 132
3 663, 467, 721, 207, 66
221, 467, 721, 69, 22

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

2 x 3 x 221 x 467 x 721 x 69 x 22 = 677746745676

Therefore, the lowest common multiple of 663,934,721,414,132 is 677746745676.

LCM Formula to Find Lowest Common Multiple of 663,934,721,414,132

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.

663 x 934 x 721 x 414 x 132 = 24398882844336

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.

663 : 1, 3, 13, 17, 39, 51, 221, 663

934 : 1, 2, 467, 934

721 : 1, 7, 103, 721

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,934,721,414,132, is 1.

Now, the common factors can be found like this.

663:3x 13x 17

934:2x 467

721:7x 103

414:2x 3x 3x 23

132:2x 2x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 24398882844336/(1x36)

LCM = 24398882844336/36

LCM = 677746745676

Thus, we can understand that the LCM of 663,934,721,414,132 is 677746745676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 663, 934, 721, 414, 132

1. What is the LCM of 663, 934, 721, 414, 132?

Answer: LCM of 663, 934, 721, 414, 132 is 677746745676.

2. How to calculate the LCM of 663, 934, 721, 414, 132?

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 663, 934, 721, 414, 132.

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}.