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LCM of 326, 141, 839, 730, 908

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


Find the LCM of 326, 141, 839, 730, 908 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 326, 141, 839, 730, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,141,839,730,908

Given numbers are 326,141,839,730,908

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

The LCM of 326,141,839,730,908 is 6390684696540.

Find LCM of 326,141,839,730,908 with Prime Factorization


2 326, 141, 839, 730, 908
163, 141, 839, 365, 454

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

2 x 163 x 141 x 839 x 365 x 454 = 6390684696540

Therefore, the lowest common multiple of 326,141,839,730,908 is 6390684696540.

LCM Formula to Find Lowest Common Multiple of 326,141,839,730,908

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.

326 x 141 x 839 x 730 x 908 = 25562738786160

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.

326 : 1, 2, 163, 326

141 : 1, 3, 47, 141

839 : 1, 839

730 : 1, 2, 5, 10, 73, 146, 365, 730

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,141,839,730,908, is 1.

Now, the common factors can be found like this.

326:2x 163

141:3x 47

839:839

730:2x 5x 73

908:2x 2x 227

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25562738786160/(1x4)

LCM = 25562738786160/4

LCM = 6390684696540

Thus, we can understand that the LCM of 326,141,839,730,908 is 6390684696540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 141, 839, 730, 908

1. What is the LCM of 326, 141, 839, 730, 908?

Answer: LCM of 326, 141, 839, 730, 908 is 6390684696540.

2. How to calculate the LCM of 326, 141, 839, 730, 908?

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 326, 141, 839, 730, 908.

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}.