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LCM of 849, 342, 304, 811

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


Find the LCM of 849, 342, 304, 811 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 849, 342, 304, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,342,304,811

Given numbers are 849,342,304,811

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

The LCM of 849,342,304,811 is 627947568.

Find LCM of 849,342,304,811 with Prime Factorization


2 849, 342, 304, 811
3 849, 171, 152, 811
19 283, 57, 152, 811
283, 3, 8, 811

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

2 x 3 x 19 x 283 x 3 x 8 x 811 = 627947568

Therefore, the lowest common multiple of 849,342,304,811 is 627947568.

LCM Formula to Find Lowest Common Multiple of 849,342,304,811

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.

849 x 342 x 304 x 811 = 71586022752

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.

849 : 1, 3, 283, 849

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,342,304,811, is 1.

Now, the common factors can be found like this.

849:3x 283

342:2x 3x 3x 19

304:2x 2x 2x 2x 19

811:811

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 19 = 114

Therefore, the value for common factors is 114.

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 = 71586022752/(1x114)

LCM = 71586022752/114

LCM = 627947568

Thus, we can understand that the LCM of 849,342,304,811 is 627947568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 342, 304, 811

1. What is the LCM of 849, 342, 304, 811?

Answer: LCM of 849, 342, 304, 811 is 627947568.

2. How to calculate the LCM of 849, 342, 304, 811?

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 849, 342, 304, 811.

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}.