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LCM of 989, 376, 198

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


Find the LCM of 989, 376, 198 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 989, 376, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,376,198

Given numbers are 989,376,198

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

The LCM of 989,376,198 is 36814536.

Find LCM of 989,376,198 with Prime Factorization


2 989, 376, 198
989, 188, 99

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

2 x 989 x 188 x 99 = 36814536

Therefore, the lowest common multiple of 989,376,198 is 36814536.

LCM Formula to Find Lowest Common Multiple of 989,376,198

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.

989 x 376 x 198 = 73629072

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.

989 : 1, 23, 43, 989

376 : 1, 2, 4, 8, 47, 94, 188, 376

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,376,198, is 1.

Now, the common factors can be found like this.

989:23x 43

376:2x 2x 2x 47

198:2x 3x 3x 11

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 = 73629072/(1x2)

LCM = 73629072/2

LCM = 36814536

Thus, we can understand that the LCM of 989,376,198 is 36814536.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 989, 376, 198

1. What is the LCM of 989, 376, 198?

Answer: LCM of 989, 376, 198 is 36814536.

2. How to calculate the LCM of 989, 376, 198?

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 989, 376, 198.

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}.