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LCM of 996, 377, 743, 377, 689

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


Find the LCM of 996, 377, 743, 377, 689 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 996, 377, 743, 377, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,377,743,377,689

Given numbers are 996,377,743,377,689

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

The LCM of 996,377,743,377,689 is 14786499468.

Find LCM of 996,377,743,377,689 with Prime Factorization


13 996, 377, 743, 377, 689
29 996, 29, 743, 29, 53
996, 1, 743, 1, 53

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

13 x 29 x 996 x 1 x 743 x 1 x 53 = 14786499468

Therefore, the lowest common multiple of 996,377,743,377,689 is 14786499468.

LCM Formula to Find Lowest Common Multiple of 996,377,743,377,689

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.

996 x 377 x 743 x 377 x 689 = 72468633892668

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

377 : 1, 13, 29, 377

743 : 1, 743

377 : 1, 13, 29, 377

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,377,743,377,689, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

377:13x 29

743:743

377:13x 29

689:13x 53

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

13x 13x 29 = 4901

Therefore, the value for common factors is 4901.

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 = 72468633892668/(1x4901)

LCM = 72468633892668/4901

LCM = 14786499468

Thus, we can understand that the LCM of 996,377,743,377,689 is 14786499468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 377, 743, 377, 689

1. What is the LCM of 996, 377, 743, 377, 689?

Answer: LCM of 996, 377, 743, 377, 689 is 14786499468.

2. How to calculate the LCM of 996, 377, 743, 377, 689?

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 996, 377, 743, 377, 689.

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}.