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LCM of 117, 487, 676, 267, 596

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


Find the LCM of 117, 487, 676, 267, 596 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 117, 487, 676, 267, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,487,676,267,596

Given numbers are 117,487,676,267,596

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

The LCM of 117,487,676,267,596 is 39291122988.

Find LCM of 117,487,676,267,596 with Prime Factorization


2 117, 487, 676, 267, 596
2 117, 487, 338, 267, 298
3 117, 487, 169, 267, 149
13 39, 487, 169, 89, 149
3, 487, 13, 89, 149

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

2 x 2 x 3 x 13 x 3 x 487 x 13 x 89 x 149 = 39291122988

Therefore, the lowest common multiple of 117,487,676,267,596 is 39291122988.

LCM Formula to Find Lowest Common Multiple of 117,487,676,267,596

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.

117 x 487 x 676 x 267 x 596 = 6129415186128

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.

117 : 1, 3, 9, 13, 39, 117

487 : 1, 487

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

267 : 1, 3, 89, 267

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,487,676,267,596, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

487:487

676:2x 2x 13x 13

267:3x 89

596:2x 2x 149

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 13 = 156

Therefore, the value for common factors is 156.

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 = 6129415186128/(1x156)

LCM = 6129415186128/156

LCM = 39291122988

Thus, we can understand that the LCM of 117,487,676,267,596 is 39291122988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 487, 676, 267, 596

1. What is the LCM of 117, 487, 676, 267, 596?

Answer: LCM of 117, 487, 676, 267, 596 is 39291122988.

2. How to calculate the LCM of 117, 487, 676, 267, 596?

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 117, 487, 676, 267, 596.

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}.