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LCM of 154, 539, 202, 179

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


Find the LCM of 154, 539, 202, 179 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 154, 539, 202, 179. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,539,202,179

Given numbers are 154,539,202,179

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

The LCM of 154,539,202,179 is 19489162.

Find LCM of 154,539,202,179 with Prime Factorization


2 154, 539, 202, 179
7 77, 539, 101, 179
11 11, 77, 101, 179
1, 7, 101, 179

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

2 x 7 x 11 x 1 x 7 x 101 x 179 = 19489162

Therefore, the lowest common multiple of 154,539,202,179 is 19489162.

LCM Formula to Find Lowest Common Multiple of 154,539,202,179

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.

154 x 539 x 202 x 179 = 3001330948

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

539 : 1, 7, 11, 49, 77, 539

202 : 1, 2, 101, 202

179 : 1, 179

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,539,202,179, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

539:7x 7x 11

202:2x 101

179:179

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

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 3001330948/(1x154)

LCM = 3001330948/154

LCM = 19489162

Thus, we can understand that the LCM of 154,539,202,179 is 19489162.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 539, 202, 179

1. What is the LCM of 154, 539, 202, 179?

Answer: LCM of 154, 539, 202, 179 is 19489162.

2. How to calculate the LCM of 154, 539, 202, 179?

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 154, 539, 202, 179.

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}.