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LCM of 731, 989, 187, 737

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


Find the LCM of 731, 989, 187, 737 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 731, 989, 187, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,989,187,737

Given numbers are 731,989,187,737

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

The LCM of 731,989,187,737 is 12391181.

Find LCM of 731,989,187,737 with Prime Factorization


11 731, 989, 187, 737
17 731, 989, 17, 67
43 43, 989, 1, 67
1, 23, 1, 67

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

11 x 17 x 43 x 1 x 23 x 1 x 67 = 12391181

Therefore, the lowest common multiple of 731,989,187,737 is 12391181.

LCM Formula to Find Lowest Common Multiple of 731,989,187,737

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.

731 x 989 x 187 x 737 = 99637486421

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.

731 : 1, 17, 43, 731

989 : 1, 23, 43, 989

187 : 1, 11, 17, 187

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,989,187,737, is 1.

Now, the common factors can be found like this.

731:17x 43

989:23x 43

187:11x 17

737:11x 67

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

11x 17x 43 = 8041

Therefore, the value for common factors is 8041.

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 = 99637486421/(1x8041)

LCM = 99637486421/8041

LCM = 12391181

Thus, we can understand that the LCM of 731,989,187,737 is 12391181.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 989, 187, 737

1. What is the LCM of 731, 989, 187, 737?

Answer: LCM of 731, 989, 187, 737 is 12391181.

2. How to calculate the LCM of 731, 989, 187, 737?

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 731, 989, 187, 737.

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}.