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LCM of 992, 815, 217, 965, 989

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


Find the LCM of 992, 815, 217, 965, 989 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 992, 815, 217, 965, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 992,815,217,965,989

Given numbers are 992,815,217,965,989

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

The LCM of 992,815,217,965,989 is 1080241658720.

Find LCM of 992,815,217,965,989 with Prime Factorization


5 992, 815, 217, 965, 989
31 992, 163, 217, 193, 989
32, 163, 7, 193, 989

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

5 x 31 x 32 x 163 x 7 x 193 x 989 = 1080241658720

Therefore, the lowest common multiple of 992,815,217,965,989 is 1080241658720.

LCM Formula to Find Lowest Common Multiple of 992,815,217,965,989

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.

992 x 815 x 217 x 965 x 989 = 167437457101600

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

815 : 1, 5, 163, 815

217 : 1, 7, 31, 217

965 : 1, 5, 193, 965

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,815,217,965,989, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

815:5x 163

217:7x 31

965:5x 193

989:23x 43

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

5x 31 = 155

Therefore, the value for common factors is 155.

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 = 167437457101600/(1x155)

LCM = 167437457101600/155

LCM = 1080241658720

Thus, we can understand that the LCM of 992,815,217,965,989 is 1080241658720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 992, 815, 217, 965, 989

1. What is the LCM of 992, 815, 217, 965, 989?

Answer: LCM of 992, 815, 217, 965, 989 is 1080241658720.

2. How to calculate the LCM of 992, 815, 217, 965, 989?

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 992, 815, 217, 965, 989.

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}.