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LCM of 117, 816, 943, 318

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


Find the LCM of 117, 816, 943, 318 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 117, 816, 943, 318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,816,943,318

Given numbers are 117,816,943,318

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

The LCM of 117,816,943,318 is 1590531696.

Find LCM of 117,816,943,318 with Prime Factorization


2 117, 816, 943, 318
3 117, 408, 943, 159
39, 136, 943, 53

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

2 x 3 x 39 x 136 x 943 x 53 = 1590531696

Therefore, the lowest common multiple of 117,816,943,318 is 1590531696.

LCM Formula to Find Lowest Common Multiple of 117,816,943,318

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.

117 x 816 x 943 x 318 = 28629570528

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.

117 : 1, 3, 9, 13, 39, 117

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

943 : 1, 23, 41, 943

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,816,943,318, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

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

943:23x 41

318:2x 3x 53

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 3 = 18

Therefore, the value for common factors is 18.

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 = 28629570528/(1x18)

LCM = 28629570528/18

LCM = 1590531696

Thus, we can understand that the LCM of 117,816,943,318 is 1590531696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 816, 943, 318

1. What is the LCM of 117, 816, 943, 318?

Answer: LCM of 117, 816, 943, 318 is 1590531696.

2. How to calculate the LCM of 117, 816, 943, 318?

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 117, 816, 943, 318.

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}.