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LCM of 736, 388, 138, 626

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


Find the LCM of 736, 388, 138, 626 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 736, 388, 138, 626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,388,138,626

Given numbers are 736,388,138,626

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

The LCM of 736,388,138,626 is 67037088.

Find LCM of 736,388,138,626 with Prime Factorization


2 736, 388, 138, 626
2 368, 194, 69, 313
23 184, 97, 69, 313
8, 97, 3, 313

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

2 x 2 x 23 x 8 x 97 x 3 x 313 = 67037088

Therefore, the lowest common multiple of 736,388,138,626 is 67037088.

LCM Formula to Find Lowest Common Multiple of 736,388,138,626

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.

736 x 388 x 138 x 626 = 24669648384

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

388 : 1, 2, 4, 97, 194, 388

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

626 : 1, 2, 313, 626

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,388,138,626, is 2.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

388:2x 2x 97

138:2x 3x 23

626:2x 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 2x 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 24669648384/(2x184)

LCM = 24669648384/368

LCM = 67037088

Thus, we can understand that the LCM of 736,388,138,626 is 67037088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 388, 138, 626

1. What is the LCM of 736, 388, 138, 626?

Answer: LCM of 736, 388, 138, 626 is 67037088.

2. How to calculate the LCM of 736, 388, 138, 626?

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 736, 388, 138, 626.

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}.