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LCM of 828, 847, 138, 309

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


Find the LCM of 828, 847, 138, 309 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 828, 847, 138, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,847,138,309

Given numbers are 828,847,138,309

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

The LCM of 828,847,138,309 is 72235548.

Find LCM of 828,847,138,309 with Prime Factorization


2 828, 847, 138, 309
3 414, 847, 69, 309
23 138, 847, 23, 103
6, 847, 1, 103

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

2 x 3 x 23 x 6 x 847 x 1 x 103 = 72235548

Therefore, the lowest common multiple of 828,847,138,309 is 72235548.

LCM Formula to Find Lowest Common Multiple of 828,847,138,309

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.

828 x 847 x 138 x 309 = 29905516872

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

847 : 1, 7, 11, 77, 121, 847

138 : 1, 2, 3, 6, 23, 46, 69, 138

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,847,138,309, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

847:7x 11x 11

138:2x 3x 23

309:3x 103

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 29905516872/(1x414)

LCM = 29905516872/414

LCM = 72235548

Thus, we can understand that the LCM of 828,847,138,309 is 72235548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 847, 138, 309

1. What is the LCM of 828, 847, 138, 309?

Answer: LCM of 828, 847, 138, 309 is 72235548.

2. How to calculate the LCM of 828, 847, 138, 309?

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 828, 847, 138, 309.

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}.