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LCM of 379, 990, 991, 916, 943

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


Find the LCM of 379, 990, 991, 916, 943 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 379, 990, 991, 916, 943. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,990,991,916,943

Given numbers are 379,990,991,916,943

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

The LCM of 379,990,991,916,943 is 160592489210340.

Find LCM of 379,990,991,916,943 with Prime Factorization


2 379, 990, 991, 916, 943
379, 495, 991, 458, 943

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

2 x 379 x 495 x 991 x 458 x 943 = 160592489210340

Therefore, the lowest common multiple of 379,990,991,916,943 is 160592489210340.

LCM Formula to Find Lowest Common Multiple of 379,990,991,916,943

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.

379 x 990 x 991 x 916 x 943 = 321184978420680

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.

379 : 1, 379

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

991 : 1, 991

916 : 1, 2, 4, 229, 458, 916

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,990,991,916,943, is 1.

Now, the common factors can be found like this.

379:379

990:2x 3x 3x 5x 11

991:991

916:2x 2x 229

943:23x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 321184978420680/(1x2)

LCM = 321184978420680/2

LCM = 160592489210340

Thus, we can understand that the LCM of 379,990,991,916,943 is 160592489210340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 990, 991, 916, 943

1. What is the LCM of 379, 990, 991, 916, 943?

Answer: LCM of 379, 990, 991, 916, 943 is 160592489210340.

2. How to calculate the LCM of 379, 990, 991, 916, 943?

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 379, 990, 991, 916, 943.

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}.