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LCM of 935, 990, 406, 724, 309

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


Find the LCM of 935, 990, 406, 724, 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 935, 990, 406, 724, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,990,406,724,309

Given numbers are 935,990,406,724,309

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

The LCM of 935,990,406,724,309 is 127387246140.

Find LCM of 935,990,406,724,309 with Prime Factorization


2 935, 990, 406, 724, 309
3 935, 495, 203, 362, 309
5 935, 165, 203, 362, 103
11 187, 33, 203, 362, 103
17, 3, 203, 362, 103

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

2 x 3 x 5 x 11 x 17 x 3 x 203 x 362 x 103 = 127387246140

Therefore, the lowest common multiple of 935,990,406,724,309 is 127387246140.

LCM Formula to Find Lowest Common Multiple of 935,990,406,724,309

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.

935 x 990 x 406 x 724 x 309 = 84075582452400

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

406 : 1, 2, 7, 14, 29, 58, 203, 406

724 : 1, 2, 4, 181, 362, 724

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,990,406,724,309, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

990:2x 3x 3x 5x 11

406:2x 7x 29

724:2x 2x 181

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 2x 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 84075582452400/(1x660)

LCM = 84075582452400/660

LCM = 127387246140

Thus, we can understand that the LCM of 935,990,406,724,309 is 127387246140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 990, 406, 724, 309

1. What is the LCM of 935, 990, 406, 724, 309?

Answer: LCM of 935, 990, 406, 724, 309 is 127387246140.

2. How to calculate the LCM of 935, 990, 406, 724, 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 935, 990, 406, 724, 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}.