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LCM of 791, 956, 326, 959

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


Find the LCM of 791, 956, 326, 959 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 791, 956, 326, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,956,326,959

Given numbers are 791,956,326,959

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

The LCM of 791,956,326,959 is 16886612876.

Find LCM of 791,956,326,959 with Prime Factorization


2 791, 956, 326, 959
7 791, 478, 163, 959
113, 478, 163, 137

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

2 x 7 x 113 x 478 x 163 x 137 = 16886612876

Therefore, the lowest common multiple of 791,956,326,959 is 16886612876.

LCM Formula to Find Lowest Common Multiple of 791,956,326,959

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.

791 x 956 x 326 x 959 = 236412580264

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.

791 : 1, 7, 113, 791

956 : 1, 2, 4, 239, 478, 956

326 : 1, 2, 163, 326

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,956,326,959, is 1.

Now, the common factors can be found like this.

791:7x 113

956:2x 2x 239

326:2x 163

959:7x 137

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 236412580264/(1x14)

LCM = 236412580264/14

LCM = 16886612876

Thus, we can understand that the LCM of 791,956,326,959 is 16886612876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 956, 326, 959

1. What is the LCM of 791, 956, 326, 959?

Answer: LCM of 791, 956, 326, 959 is 16886612876.

2. How to calculate the LCM of 791, 956, 326, 959?

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 791, 956, 326, 959.

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}.