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LCM of 179, 616, 916

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


Find the LCM of 179, 616, 916 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 179, 616, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 179,616,916

Given numbers are 179,616,916

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

The LCM of 179,616,916 is 25250456.

Find LCM of 179,616,916 with Prime Factorization


2 179, 616, 916
2 179, 308, 458
179, 154, 229

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

2 x 2 x 179 x 154 x 229 = 25250456

Therefore, the lowest common multiple of 179,616,916 is 25250456.

LCM Formula to Find Lowest Common Multiple of 179,616,916

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.

179 x 616 x 916 = 101001824

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.

179 : 1, 179

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,616,916, is 1.

Now, the common factors can be found like this.

179:179

616:2x 2x 2x 7x 11

916:2x 2x 229

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 101001824/(1x4)

LCM = 101001824/4

LCM = 25250456

Thus, we can understand that the LCM of 179,616,916 is 25250456.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 179, 616, 916

1. What is the LCM of 179, 616, 916?

Answer: LCM of 179, 616, 916 is 25250456.

2. How to calculate the LCM of 179, 616, 916?

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 179, 616, 916.

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}.