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LCM of 337, 212, 962, 610

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


Find the LCM of 337, 212, 962, 610 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 337, 212, 962, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,212,962,610

Given numbers are 337,212,962,610

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

The LCM of 337,212,962,610 is 10481192020.

Find LCM of 337,212,962,610 with Prime Factorization


2 337, 212, 962, 610
337, 106, 481, 305

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

2 x 337 x 106 x 481 x 305 = 10481192020

Therefore, the lowest common multiple of 337,212,962,610 is 10481192020.

LCM Formula to Find Lowest Common Multiple of 337,212,962,610

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.

337 x 212 x 962 x 610 = 41924768080

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.

337 : 1, 337

212 : 1, 2, 4, 53, 106, 212

962 : 1, 2, 13, 26, 37, 74, 481, 962

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,212,962,610, is 1.

Now, the common factors can be found like this.

337:337

212:2x 2x 53

962:2x 13x 37

610:2x 5x 61

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41924768080/(1x4)

LCM = 41924768080/4

LCM = 10481192020

Thus, we can understand that the LCM of 337,212,962,610 is 10481192020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 212, 962, 610

1. What is the LCM of 337, 212, 962, 610?

Answer: LCM of 337, 212, 962, 610 is 10481192020.

2. How to calculate the LCM of 337, 212, 962, 610?

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 337, 212, 962, 610.

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}.