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LCM of 862, 626, 939

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


Find the LCM of 862, 626, 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 862, 626, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,626,939

Given numbers are 862,626,939

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

The LCM of 862,626,939 is 809418.

Find LCM of 862,626,939 with Prime Factorization


2 862, 626, 939
313 431, 313, 939
431, 1, 3

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

2 x 313 x 431 x 1 x 3 = 809418

Therefore, the lowest common multiple of 862,626,939 is 809418.

LCM Formula to Find Lowest Common Multiple of 862,626,939

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.

862 x 626 x 939 = 506695668

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.

862 : 1, 2, 431, 862

626 : 1, 2, 313, 626

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,626,939, is 1.

Now, the common factors can be found like this.

862:2x 431

626:2x 313

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 313 = 626

Therefore, the value for common factors is 626.

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 = 506695668/(1x626)

LCM = 506695668/626

LCM = 809418

Thus, we can understand that the LCM of 862,626,939 is 809418.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 862, 626, 939

1. What is the LCM of 862, 626, 939?

Answer: LCM of 862, 626, 939 is 809418.

2. How to calculate the LCM of 862, 626, 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 862, 626, 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}.