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LCM of 839, 116, 306, 406, 355

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


Find the LCM of 839, 116, 306, 406, 355 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 839, 116, 306, 406, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,116,306,406,355

Given numbers are 839,116,306,406,355

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

The LCM of 839,116,306,406,355 is 37003071420.

Find LCM of 839,116,306,406,355 with Prime Factorization


2 839, 116, 306, 406, 355
29 839, 58, 153, 203, 355
839, 2, 153, 7, 355

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

2 x 29 x 839 x 2 x 153 x 7 x 355 = 37003071420

Therefore, the lowest common multiple of 839,116,306,406,355 is 37003071420.

LCM Formula to Find Lowest Common Multiple of 839,116,306,406,355

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.

839 x 116 x 306 x 406 x 355 = 4292356284720

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.

839 : 1, 839

116 : 1, 2, 4, 29, 58, 116

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,116,306,406,355, is 1.

Now, the common factors can be found like this.

839:839

116:2x 2x 29

306:2x 3x 3x 17

406:2x 7x 29

355:5x 71

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 29 = 116

Therefore, the value for common factors is 116.

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 = 4292356284720/(1x116)

LCM = 4292356284720/116

LCM = 37003071420

Thus, we can understand that the LCM of 839,116,306,406,355 is 37003071420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 116, 306, 406, 355

1. What is the LCM of 839, 116, 306, 406, 355?

Answer: LCM of 839, 116, 306, 406, 355 is 37003071420.

2. How to calculate the LCM of 839, 116, 306, 406, 355?

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 839, 116, 306, 406, 355.

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}.