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LCM of 163, 949, 676, 853, 391

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


Find the LCM of 163, 949, 676, 853, 391 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 163, 949, 676, 853, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,949,676,853,391

Given numbers are 163,949,676,853,391

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

The LCM of 163,949,676,853,391 is 2682766959652.

Find LCM of 163,949,676,853,391 with Prime Factorization


13 163, 949, 676, 853, 391
163, 73, 52, 853, 391

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

13 x 163 x 73 x 52 x 853 x 391 = 2682766959652

Therefore, the lowest common multiple of 163,949,676,853,391 is 2682766959652.

LCM Formula to Find Lowest Common Multiple of 163,949,676,853,391

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.

163 x 949 x 676 x 853 x 391 = 34875970475476

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.

163 : 1, 163

949 : 1, 13, 73, 949

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

853 : 1, 853

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,949,676,853,391, is 1.

Now, the common factors can be found like this.

163:163

949:13x 73

676:2x 2x 13x 13

853:853

391:17x 23

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

13 = 13

Therefore, the value for common factors is 13.

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 = 34875970475476/(1x13)

LCM = 34875970475476/13

LCM = 2682766959652

Thus, we can understand that the LCM of 163,949,676,853,391 is 2682766959652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 949, 676, 853, 391

1. What is the LCM of 163, 949, 676, 853, 391?

Answer: LCM of 163, 949, 676, 853, 391 is 2682766959652.

2. How to calculate the LCM of 163, 949, 676, 853, 391?

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 163, 949, 676, 853, 391.

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}.