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LCM of 791, 770, 924, 872

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


Find the LCM of 791, 770, 924, 872 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, 770, 924, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,770,924,872

Given numbers are 791,770,924,872

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

The LCM of 791,770,924,872 is 113809080.

Find LCM of 791,770,924,872 with Prime Factorization


2 791, 770, 924, 872
2 791, 385, 462, 436
7 791, 385, 231, 218
11 113, 55, 33, 218
113, 5, 3, 218

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

2 x 2 x 7 x 11 x 113 x 5 x 3 x 218 = 113809080

Therefore, the lowest common multiple of 791,770,924,872 is 113809080.

LCM Formula to Find Lowest Common Multiple of 791,770,924,872

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 770 x 924 x 872 = 490744752960

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,770,924,872, is 1.

Now, the common factors can be found like this.

791:7x 113

770:2x 5x 7x 11

924:2x 2x 3x 7x 11

872:2x 2x 2x 109

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 2x 7x 7x 11 = 4312

Therefore, the value for common factors is 4312.

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 = 490744752960/(1x4312)

LCM = 490744752960/4312

LCM = 113809080

Thus, we can understand that the LCM of 791,770,924,872 is 113809080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 770, 924, 872

1. What is the LCM of 791, 770, 924, 872?

Answer: LCM of 791, 770, 924, 872 is 113809080.

2. How to calculate the LCM of 791, 770, 924, 872?

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, 770, 924, 872.

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}.