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LCM of 914, 626, 928, 138

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


Find the LCM of 914, 626, 928, 138 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 914, 626, 928, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,626,928,138

Given numbers are 914,626,928,138

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

The LCM of 914,626,928,138 is 9159201312.

Find LCM of 914,626,928,138 with Prime Factorization


2 914, 626, 928, 138
457, 313, 464, 69

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

2 x 457 x 313 x 464 x 69 = 9159201312

Therefore, the lowest common multiple of 914,626,928,138 is 9159201312.

LCM Formula to Find Lowest Common Multiple of 914,626,928,138

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.

914 x 626 x 928 x 138 = 73273610496

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.

914 : 1, 2, 457, 914

626 : 1, 2, 313, 626

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,626,928,138, is 2.

Now, the common factors can be found like this.

914:2x 457

626:2x 313

928:2x 2x 2x 2x 2x 29

138:2x 3x 23

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 = 73273610496/(2x4)

LCM = 73273610496/8

LCM = 9159201312

Thus, we can understand that the LCM of 914,626,928,138 is 9159201312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 626, 928, 138

1. What is the LCM of 914, 626, 928, 138?

Answer: LCM of 914, 626, 928, 138 is 9159201312.

2. How to calculate the LCM of 914, 626, 928, 138?

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 914, 626, 928, 138.

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}.