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LCM of 835, 339, 638, 113

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


Find the LCM of 835, 339, 638, 113 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 835, 339, 638, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,339,638,113

Given numbers are 835,339,638,113

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

The LCM of 835,339,638,113 is 180595470.

Find LCM of 835,339,638,113 with Prime Factorization


113 835, 339, 638, 113
835, 3, 638, 1

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

113 x 835 x 3 x 638 x 1 = 180595470

Therefore, the lowest common multiple of 835,339,638,113 is 180595470.

LCM Formula to Find Lowest Common Multiple of 835,339,638,113

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.

835 x 339 x 638 x 113 = 20407288110

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.

835 : 1, 5, 167, 835

339 : 1, 3, 113, 339

638 : 1, 2, 11, 22, 29, 58, 319, 638

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,339,638,113, is 1.

Now, the common factors can be found like this.

835:5x 167

339:3x 113

638:2x 11x 29

113:113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

113 = 113

Therefore, the value for common factors is 113.

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 = 20407288110/(1x113)

LCM = 20407288110/113

LCM = 180595470

Thus, we can understand that the LCM of 835,339,638,113 is 180595470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 339, 638, 113

1. What is the LCM of 835, 339, 638, 113?

Answer: LCM of 835, 339, 638, 113 is 180595470.

2. How to calculate the LCM of 835, 339, 638, 113?

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 835, 339, 638, 113.

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}.