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LCM of 835, 998, 647, 647, 167

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


Find the LCM of 835, 998, 647, 647, 167 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 835, 998, 647, 647, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,998,647,647,167

Given numbers are 835,998,647,647,167

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

The LCM of 835,998,647,647,167 is 539164510.

Find LCM of 835,998,647,647,167 with Prime Factorization


167 835, 998, 647, 647, 167
647 5, 998, 647, 647, 1
5, 998, 1, 1, 1

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

167 x 647 x 5 x 998 x 1 x 1 x 1 = 539164510

Therefore, the lowest common multiple of 835,998,647,647,167 is 539164510.

LCM Formula to Find Lowest Common Multiple of 835,998,647,647,167

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.

835 x 998 x 647 x 647 x 167 = 58256186140990

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.

835 : 1, 5, 167, 835

998 : 1, 2, 499, 998

647 : 1, 647

647 : 1, 647

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,998,647,647,167, is 1.

Now, the common factors can be found like this.

835:5x 167

998:2x 499

647:647

647:647

167:167

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

167x 647 = 108049

Therefore, the value for common factors is 108049.

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 = 58256186140990/(1x108049)

LCM = 58256186140990/108049

LCM = 539164510

Thus, we can understand that the LCM of 835,998,647,647,167 is 539164510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 998, 647, 647, 167

1. What is the LCM of 835, 998, 647, 647, 167?

Answer: LCM of 835, 998, 647, 647, 167 is 539164510.

2. How to calculate the LCM of 835, 998, 647, 647, 167?

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 835, 998, 647, 647, 167.

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}.