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LCM of 980, 301, 688, 979

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


Find the LCM of 980, 301, 688, 979 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 980, 301, 688, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,301,688,979

Given numbers are 980,301,688,979

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

The LCM of 980,301,688,979 is 165020240.

Find LCM of 980,301,688,979 with Prime Factorization


2 980, 301, 688, 979
2 490, 301, 344, 979
7 245, 301, 172, 979
43 35, 43, 172, 979
35, 1, 4, 979

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

2 x 2 x 7 x 43 x 35 x 1 x 4 x 979 = 165020240

Therefore, the lowest common multiple of 980,301,688,979 is 165020240.

LCM Formula to Find Lowest Common Multiple of 980,301,688,979

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.

980 x 301 x 688 x 979 = 198684368960

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

301 : 1, 7, 43, 301

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,301,688,979, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

301:7x 43

688:2x 2x 2x 2x 43

979:11x 89

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 7x 43 = 1204

Therefore, the value for common factors is 1204.

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 = 198684368960/(1x1204)

LCM = 198684368960/1204

LCM = 165020240

Thus, we can understand that the LCM of 980,301,688,979 is 165020240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 301, 688, 979

1. What is the LCM of 980, 301, 688, 979?

Answer: LCM of 980, 301, 688, 979 is 165020240.

2. How to calculate the LCM of 980, 301, 688, 979?

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 980, 301, 688, 979.

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}.