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LCM of 791, 334, 112, 391

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


Find the LCM of 791, 334, 112, 391 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, 334, 112, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,334,112,391

Given numbers are 791,334,112,391

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

The LCM of 791,334,112,391 is 826398832.

Find LCM of 791,334,112,391 with Prime Factorization


2 791, 334, 112, 391
7 791, 167, 56, 391
113, 167, 8, 391

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

2 x 7 x 113 x 167 x 8 x 391 = 826398832

Therefore, the lowest common multiple of 791,334,112,391 is 826398832.

LCM Formula to Find Lowest Common Multiple of 791,334,112,391

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 334 x 112 x 391 = 11569583648

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

334 : 1, 2, 167, 334

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,334,112,391, is 1.

Now, the common factors can be found like this.

791:7x 113

334:2x 167

112:2x 2x 2x 2x 7

391:17x 23

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 = 11569583648/(1x14)

LCM = 11569583648/14

LCM = 826398832

Thus, we can understand that the LCM of 791,334,112,391 is 826398832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 334, 112, 391

1. What is the LCM of 791, 334, 112, 391?

Answer: LCM of 791, 334, 112, 391 is 826398832.

2. How to calculate the LCM of 791, 334, 112, 391?

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, 334, 112, 391.

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}.