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LCM of 116, 991, 250, 277, 548

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


Find the LCM of 116, 991, 250, 277, 548 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 116, 991, 250, 277, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,991,250,277,548

Given numbers are 116,991,250,277,548

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

The LCM of 116,991,250,277,548 is 545308155500.

Find LCM of 116,991,250,277,548 with Prime Factorization


2 116, 991, 250, 277, 548
2 58, 991, 125, 277, 274
29, 991, 125, 277, 137

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

2 x 2 x 29 x 991 x 125 x 277 x 137 = 545308155500

Therefore, the lowest common multiple of 116,991,250,277,548 is 545308155500.

LCM Formula to Find Lowest Common Multiple of 116,991,250,277,548

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.

116 x 991 x 250 x 277 x 548 = 4362465244000

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.

116 : 1, 2, 4, 29, 58, 116

991 : 1, 991

250 : 1, 2, 5, 10, 25, 50, 125, 250

277 : 1, 277

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,991,250,277,548, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

991:991

250:2x 5x 5x 5

277:277

548:2x 2x 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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 4362465244000/(1x8)

LCM = 4362465244000/8

LCM = 545308155500

Thus, we can understand that the LCM of 116,991,250,277,548 is 545308155500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 991, 250, 277, 548

1. What is the LCM of 116, 991, 250, 277, 548?

Answer: LCM of 116, 991, 250, 277, 548 is 545308155500.

2. How to calculate the LCM of 116, 991, 250, 277, 548?

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 116, 991, 250, 277, 548.

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}.