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LCM of 996, 371, 759, 462

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


Find the LCM of 996, 371, 759, 462 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, 371, 759, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,371,759,462

Given numbers are 996,371,759,462

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

The LCM of 996,371,759,462 is 93487548.

Find LCM of 996,371,759,462 with Prime Factorization


2 996, 371, 759, 462
3 498, 371, 759, 231
7 166, 371, 253, 77
11 166, 53, 253, 11
166, 53, 23, 1

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

2 x 3 x 7 x 11 x 166 x 53 x 23 x 1 = 93487548

Therefore, the lowest common multiple of 996,371,759,462 is 93487548.

LCM Formula to Find Lowest Common Multiple of 996,371,759,462

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 371 x 759 x 462 = 129573741528

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

371 : 1, 7, 53, 371

759 : 1, 3, 11, 23, 33, 69, 253, 759

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,371,759,462, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

371:7x 53

759:3x 11x 23

462:2x 3x 7x 11

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

2x 3x 3x 7x 11 = 1386

Therefore, the value for common factors is 1386.

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 = 129573741528/(1x1386)

LCM = 129573741528/1386

LCM = 93487548

Thus, we can understand that the LCM of 996,371,759,462 is 93487548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 371, 759, 462

1. What is the LCM of 996, 371, 759, 462?

Answer: LCM of 996, 371, 759, 462 is 93487548.

2. How to calculate the LCM of 996, 371, 759, 462?

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, 371, 759, 462.

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}.