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LCM of 626, 939, 888

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


Find the LCM of 626, 939, 888 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 626, 939, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,939,888

Given numbers are 626,939,888

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

The LCM of 626,939,888 is 277944.

Find LCM of 626,939,888 with Prime Factorization


2 626, 939, 888
3 313, 939, 444
313 313, 313, 148
1, 1, 148

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

2 x 3 x 313 x 1 x 1 x 148 = 277944

Therefore, the lowest common multiple of 626,939,888 is 277944.

LCM Formula to Find Lowest Common Multiple of 626,939,888

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.

626 x 939 x 888 = 521978832

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.

626 : 1, 2, 313, 626

939 : 1, 3, 313, 939

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,939,888, is 1.

Now, the common factors can be found like this.

626:2x 313

939:3x 313

888:2x 2x 2x 3x 37

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

2x 3x 313 = 1878

Therefore, the value for common factors is 1878.

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 = 521978832/(1x1878)

LCM = 521978832/1878

LCM = 277944

Thus, we can understand that the LCM of 626,939,888 is 277944.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 626, 939, 888

1. What is the LCM of 626, 939, 888?

Answer: LCM of 626, 939, 888 is 277944.

2. How to calculate the LCM of 626, 939, 888?

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 626, 939, 888.

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}.