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LCM of 796, 747, 992, 121, 941

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


Find the LCM of 796, 747, 992, 121, 941 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 796, 747, 992, 121, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,747,992,121,941

Given numbers are 796,747,992,121,941

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

The LCM of 796,747,992,121,941 is 16790372999136.

Find LCM of 796,747,992,121,941 with Prime Factorization


2 796, 747, 992, 121, 941
2 398, 747, 496, 121, 941
199, 747, 248, 121, 941

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

2 x 2 x 199 x 747 x 248 x 121 x 941 = 16790372999136

Therefore, the lowest common multiple of 796,747,992,121,941 is 16790372999136.

LCM Formula to Find Lowest Common Multiple of 796,747,992,121,941

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.

796 x 747 x 992 x 121 x 941 = 67161491996544

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.

796 : 1, 2, 4, 199, 398, 796

747 : 1, 3, 9, 83, 249, 747

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

121 : 1, 11, 121

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,747,992,121,941, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

747:3x 3x 83

992:2x 2x 2x 2x 2x 31

121:11x 11

941:941

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 67161491996544/(1x4)

LCM = 67161491996544/4

LCM = 16790372999136

Thus, we can understand that the LCM of 796,747,992,121,941 is 16790372999136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 747, 992, 121, 941

1. What is the LCM of 796, 747, 992, 121, 941?

Answer: LCM of 796, 747, 992, 121, 941 is 16790372999136.

2. How to calculate the LCM of 796, 747, 992, 121, 941?

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 796, 747, 992, 121, 941.

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}.