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LCM of 169, 910, 982, 375, 713

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


Find the LCM of 169, 910, 982, 375, 713 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 169, 910, 982, 375, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,910,982,375,713

Given numbers are 169,910,982,375,713

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

The LCM of 169,910,982,375,713 is 310611141750.

Find LCM of 169,910,982,375,713 with Prime Factorization


2 169, 910, 982, 375, 713
5 169, 455, 491, 375, 713
13 169, 91, 491, 75, 713
13, 7, 491, 75, 713

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

2 x 5 x 13 x 13 x 7 x 491 x 75 x 713 = 310611141750

Therefore, the lowest common multiple of 169,910,982,375,713 is 310611141750.

LCM Formula to Find Lowest Common Multiple of 169,910,982,375,713

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.

169 x 910 x 982 x 375 x 713 = 40379448427500

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.

169 : 1, 13, 169

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

982 : 1, 2, 491, 982

375 : 1, 3, 5, 15, 25, 75, 125, 375

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,910,982,375,713, is 1.

Now, the common factors can be found like this.

169:13x 13

910:2x 5x 7x 13

982:2x 491

375:3x 5x 5x 5

713:23x 31

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 40379448427500/(1x130)

LCM = 40379448427500/130

LCM = 310611141750

Thus, we can understand that the LCM of 169,910,982,375,713 is 310611141750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 910, 982, 375, 713

1. What is the LCM of 169, 910, 982, 375, 713?

Answer: LCM of 169, 910, 982, 375, 713 is 310611141750.

2. How to calculate the LCM of 169, 910, 982, 375, 713?

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 169, 910, 982, 375, 713.

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}.