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LCM of 793, 171, 167, 893

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


Find the LCM of 793, 171, 167, 893 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 793, 171, 167, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,171,167,893

Given numbers are 793,171,167,893

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

The LCM of 793,171,167,893 is 1064347947.

Find LCM of 793,171,167,893 with Prime Factorization


19 793, 171, 167, 893
793, 9, 167, 47

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

19 x 793 x 9 x 167 x 47 = 1064347947

Therefore, the lowest common multiple of 793,171,167,893 is 1064347947.

LCM Formula to Find Lowest Common Multiple of 793,171,167,893

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.

793 x 171 x 167 x 893 = 20222610993

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.

793 : 1, 13, 61, 793

171 : 1, 3, 9, 19, 57, 171

167 : 1, 167

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,171,167,893, is 1.

Now, the common factors can be found like this.

793:13x 61

171:3x 3x 19

167:167

893:19x 47

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

19 = 19

Therefore, the value for common factors is 19.

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 = 20222610993/(1x19)

LCM = 20222610993/19

LCM = 1064347947

Thus, we can understand that the LCM of 793,171,167,893 is 1064347947.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 171, 167, 893

1. What is the LCM of 793, 171, 167, 893?

Answer: LCM of 793, 171, 167, 893 is 1064347947.

2. How to calculate the LCM of 793, 171, 167, 893?

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 793, 171, 167, 893.

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}.