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LCM of 996, 318, 194, 158, 779

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


Find the LCM of 996, 318, 194, 158, 779 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, 318, 194, 158, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,318,194,158,779

Given numbers are 996,318,194,158,779

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

The LCM of 996,318,194,158,779 is 315116751876.

Find LCM of 996,318,194,158,779 with Prime Factorization


2 996, 318, 194, 158, 779
3 498, 159, 97, 79, 779
166, 53, 97, 79, 779

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

2 x 3 x 166 x 53 x 97 x 79 x 779 = 315116751876

Therefore, the lowest common multiple of 996,318,194,158,779 is 315116751876.

LCM Formula to Find Lowest Common Multiple of 996,318,194,158,779

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 318 x 194 x 158 x 779 = 7562802045024

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

194 : 1, 2, 97, 194

158 : 1, 2, 79, 158

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,318,194,158,779, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

318:2x 3x 53

194:2x 97

158:2x 79

779:19x 41

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 7562802045024/(1x24)

LCM = 7562802045024/24

LCM = 315116751876

Thus, we can understand that the LCM of 996,318,194,158,779 is 315116751876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 318, 194, 158, 779

1. What is the LCM of 996, 318, 194, 158, 779?

Answer: LCM of 996, 318, 194, 158, 779 is 315116751876.

2. How to calculate the LCM of 996, 318, 194, 158, 779?

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, 318, 194, 158, 779.

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}.