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LCM of 168, 837, 847, 992, 794

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


Find the LCM of 168, 837, 847, 992, 794 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 168, 837, 847, 992, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,837,847,992,794

Given numbers are 168,837,847,992,794

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

The LCM of 168,837,847,992,794 is 9006361056.

Find LCM of 168,837,847,992,794 with Prime Factorization


2 168, 837, 847, 992, 794
2 84, 837, 847, 496, 397
2 42, 837, 847, 248, 397
3 21, 837, 847, 124, 397
7 7, 279, 847, 124, 397
31 1, 279, 121, 124, 397
1, 9, 121, 4, 397

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

2 x 2 x 2 x 3 x 7 x 31 x 1 x 9 x 121 x 4 x 397 = 9006361056

Therefore, the lowest common multiple of 168,837,847,992,794 is 9006361056.

LCM Formula to Find Lowest Common Multiple of 168,837,847,992,794

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.

168 x 837 x 847 x 992 x 794 = 93810256759296

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

837 : 1, 3, 9, 27, 31, 93, 279, 837

847 : 1, 7, 11, 77, 121, 847

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

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,837,847,992,794, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

837:3x 3x 3x 31

847:7x 11x 11

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

794:2x 397

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 2x 3x 7x 31 = 10416

Therefore, the value for common factors is 10416.

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 = 93810256759296/(1x10416)

LCM = 93810256759296/10416

LCM = 9006361056

Thus, we can understand that the LCM of 168,837,847,992,794 is 9006361056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 837, 847, 992, 794

1. What is the LCM of 168, 837, 847, 992, 794?

Answer: LCM of 168, 837, 847, 992, 794 is 9006361056.

2. How to calculate the LCM of 168, 837, 847, 992, 794?

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 168, 837, 847, 992, 794.

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}.