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LCM of 726, 757, 988, 117

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


Find the LCM of 726, 757, 988, 117 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 726, 757, 988, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,757,988,117

Given numbers are 726,757,988,117

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

The LCM of 726,757,988,117 is 814480524.

Find LCM of 726,757,988,117 with Prime Factorization


2 726, 757, 988, 117
3 363, 757, 494, 117
13 121, 757, 494, 39
121, 757, 38, 3

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

2 x 3 x 13 x 121 x 757 x 38 x 3 = 814480524

Therefore, the lowest common multiple of 726,757,988,117 is 814480524.

LCM Formula to Find Lowest Common Multiple of 726,757,988,117

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.

726 x 757 x 988 x 117 = 63529480872

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

757 : 1, 757

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,757,988,117, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

757:757

988:2x 2x 13x 19

117:3x 3x 13

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 63529480872/(1x78)

LCM = 63529480872/78

LCM = 814480524

Thus, we can understand that the LCM of 726,757,988,117 is 814480524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 757, 988, 117

1. What is the LCM of 726, 757, 988, 117?

Answer: LCM of 726, 757, 988, 117 is 814480524.

2. How to calculate the LCM of 726, 757, 988, 117?

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 726, 757, 988, 117.

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}.