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LCM of 989, 138, 161

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


Find the LCM of 989, 138, 161 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, 138, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,138,161

Given numbers are 989,138,161

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

The LCM of 989,138,161 is 41538.

Find LCM of 989,138,161 with Prime Factorization


23 989, 138, 161
43, 6, 7

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

23 x 43 x 6 x 7 = 41538

Therefore, the lowest common multiple of 989,138,161 is 41538.

LCM Formula to Find Lowest Common Multiple of 989,138,161

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 138 x 161 = 21973602

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

161 : 1, 7, 23, 161

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,138,161, is 23.

Now, the common factors can be found like this.

989:23x 43

138:2x 3x 23

161:7x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 21973602/(23x23)

LCM = 21973602/529

LCM = 41538

Thus, we can understand that the LCM of 989,138,161 is 41538.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 989, 138, 161

1. What is the LCM of 989, 138, 161?

Answer: LCM of 989, 138, 161 is 41538.

2. How to calculate the LCM of 989, 138, 161?

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, 138, 161.

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}.