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LCM of 9, 756, 342, 939

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


Find the LCM of 9, 756, 342, 939 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 9, 756, 342, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,756,342,939

Given numbers are 9,756,342,939

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

The LCM of 9,756,342,939 is 4495932.

Find LCM of 9,756,342,939 with Prime Factorization


2 9, 756, 342, 939
3 9, 378, 171, 939
3 3, 126, 57, 313
1, 42, 19, 313

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

2 x 3 x 3 x 1 x 42 x 19 x 313 = 4495932

Therefore, the lowest common multiple of 9,756,342,939 is 4495932.

LCM Formula to Find Lowest Common Multiple of 9,756,342,939

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.

9 x 756 x 342 x 939 = 2185022952

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.

9 : 1, 3, 9

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

939 : 1, 3, 313, 939

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,756,342,939, is 3.

Now, the common factors can be found like this.

9:3x 3

756:2x 2x 3x 3x 3x 7

342:2x 3x 3x 19

939:3x 313

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 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 2185022952/(3x162)

LCM = 2185022952/486

LCM = 4495932

Thus, we can understand that the LCM of 9,756,342,939 is 4495932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 756, 342, 939

1. What is the LCM of 9, 756, 342, 939?

Answer: LCM of 9, 756, 342, 939 is 4495932.

2. How to calculate the LCM of 9, 756, 342, 939?

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 9, 756, 342, 939.

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}.