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LCM of 331, 979, 685, 425, 995

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


Find the LCM of 331, 979, 685, 425, 995 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 331, 979, 685, 425, 995. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,979,685,425,995

Given numbers are 331,979,685,425,995

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

The LCM of 331,979,685,425,995 is 3754682851975.

Find LCM of 331,979,685,425,995 with Prime Factorization


5 331, 979, 685, 425, 995
331, 979, 137, 85, 199

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

5 x 331 x 979 x 137 x 85 x 199 = 3754682851975

Therefore, the lowest common multiple of 331,979,685,425,995 is 3754682851975.

LCM Formula to Find Lowest Common Multiple of 331,979,685,425,995

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.

331 x 979 x 685 x 425 x 995 = 93867071299375

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.

331 : 1, 331

979 : 1, 11, 89, 979

685 : 1, 5, 137, 685

425 : 1, 5, 17, 25, 85, 425

995 : 1, 5, 199, 995

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,979,685,425,995, is 1.

Now, the common factors can be found like this.

331:331

979:11x 89

685:5x 137

425:5x 5x 17

995:5x 199

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 93867071299375/(1x25)

LCM = 93867071299375/25

LCM = 3754682851975

Thus, we can understand that the LCM of 331,979,685,425,995 is 3754682851975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 979, 685, 425, 995

1. What is the LCM of 331, 979, 685, 425, 995?

Answer: LCM of 331, 979, 685, 425, 995 is 3754682851975.

2. How to calculate the LCM of 331, 979, 685, 425, 995?

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 331, 979, 685, 425, 995.

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}.