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LCM of 403, 663, 388, 737

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


Find the LCM of 403, 663, 388, 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 403, 663, 388, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,663,388,737

Given numbers are 403,663,388,737

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

The LCM of 403,663,388,737 is 5877253668.

Find LCM of 403,663,388,737 with Prime Factorization


13 403, 663, 388, 737
31, 51, 388, 737

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

13 x 31 x 51 x 388 x 737 = 5877253668

Therefore, the lowest common multiple of 403,663,388,737 is 5877253668.

LCM Formula to Find Lowest Common Multiple of 403,663,388,737

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.

403 x 663 x 388 x 737 = 76404297684

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.

403 : 1, 13, 31, 403

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,663,388,737, is 1.

Now, the common factors can be found like this.

403:13x 31

663:3x 13x 17

388:2x 2x 97

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 76404297684/(1x13)

LCM = 76404297684/13

LCM = 5877253668

Thus, we can understand that the LCM of 403,663,388,737 is 5877253668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 663, 388, 737

1. What is the LCM of 403, 663, 388, 737?

Answer: LCM of 403, 663, 388, 737 is 5877253668.

2. How to calculate the LCM of 403, 663, 388, 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 403, 663, 388, 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}.