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LCM of 983, 646, 813, 816

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


Find the LCM of 983, 646, 813, 816 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 983, 646, 813, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 983,646,813,816

Given numbers are 983,646,813,816

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

The LCM of 983,646,813,816 is 4130157072.

Find LCM of 983,646,813,816 with Prime Factorization


2 983, 646, 813, 816
3 983, 323, 813, 408
17 983, 323, 271, 136
983, 19, 271, 8

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

2 x 3 x 17 x 983 x 19 x 271 x 8 = 4130157072

Therefore, the lowest common multiple of 983,646,813,816 is 4130157072.

LCM Formula to Find Lowest Common Multiple of 983,646,813,816

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.

983 x 646 x 813 x 816 = 421276021344

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.

983 : 1, 983

646 : 1, 2, 17, 19, 34, 38, 323, 646

813 : 1, 3, 271, 813

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,646,813,816, is 1.

Now, the common factors can be found like this.

983:983

646:2x 17x 19

813:3x 271

816:2x 2x 2x 2x 3x 17

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 17 = 102

Therefore, the value for common factors is 102.

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 = 421276021344/(1x102)

LCM = 421276021344/102

LCM = 4130157072

Thus, we can understand that the LCM of 983,646,813,816 is 4130157072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 983, 646, 813, 816

1. What is the LCM of 983, 646, 813, 816?

Answer: LCM of 983, 646, 813, 816 is 4130157072.

2. How to calculate the LCM of 983, 646, 813, 816?

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 983, 646, 813, 816.

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}.