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LCM of 538, 737, 371, 325, 745

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


Find the LCM of 538, 737, 371, 325, 745 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 538, 737, 371, 325, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,737,371,325,745

Given numbers are 538,737,371,325,745

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

The LCM of 538,737,371,325,745 is 7123497931550.

Find LCM of 538,737,371,325,745 with Prime Factorization


5 538, 737, 371, 325, 745
538, 737, 371, 65, 149

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

5 x 538 x 737 x 371 x 65 x 149 = 7123497931550

Therefore, the lowest common multiple of 538,737,371,325,745 is 7123497931550.

LCM Formula to Find Lowest Common Multiple of 538,737,371,325,745

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.

538 x 737 x 371 x 325 x 745 = 35617489657750

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.

538 : 1, 2, 269, 538

737 : 1, 11, 67, 737

371 : 1, 7, 53, 371

325 : 1, 5, 13, 25, 65, 325

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,737,371,325,745, is 1.

Now, the common factors can be found like this.

538:2x 269

737:11x 67

371:7x 53

325:5x 5x 13

745:5x 149

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

5 = 5

Therefore, the value for common factors is 5.

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 = 35617489657750/(1x5)

LCM = 35617489657750/5

LCM = 7123497931550

Thus, we can understand that the LCM of 538,737,371,325,745 is 7123497931550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 737, 371, 325, 745

1. What is the LCM of 538, 737, 371, 325, 745?

Answer: LCM of 538, 737, 371, 325, 745 is 7123497931550.

2. How to calculate the LCM of 538, 737, 371, 325, 745?

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 538, 737, 371, 325, 745.

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}.