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LCM of 116, 197, 267, 652, 772

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


Find the LCM of 116, 197, 267, 652, 772 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, 197, 267, 652, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,197,267,652,772

Given numbers are 116,197,267,652,772

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

The LCM of 116,197,267,652,772 is 191946585156.

Find LCM of 116,197,267,652,772 with Prime Factorization


2 116, 197, 267, 652, 772
2 58, 197, 267, 326, 386
29, 197, 267, 163, 193

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

2 x 2 x 29 x 197 x 267 x 163 x 193 = 191946585156

Therefore, the lowest common multiple of 116,197,267,652,772 is 191946585156.

LCM Formula to Find Lowest Common Multiple of 116,197,267,652,772

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 197 x 267 x 652 x 772 = 3071145362496

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

197 : 1, 197

267 : 1, 3, 89, 267

652 : 1, 2, 4, 163, 326, 652

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,197,267,652,772, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

197:197

267:3x 89

652:2x 2x 163

772:2x 2x 193

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3071145362496/(1x16)

LCM = 3071145362496/16

LCM = 191946585156

Thus, we can understand that the LCM of 116,197,267,652,772 is 191946585156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 197, 267, 652, 772

1. What is the LCM of 116, 197, 267, 652, 772?

Answer: LCM of 116, 197, 267, 652, 772 is 191946585156.

2. How to calculate the LCM of 116, 197, 267, 652, 772?

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, 197, 267, 652, 772.

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}.