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LCM of 844, 551, 931, 923, 167

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


Find the LCM of 844, 551, 931, 923, 167 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 844, 551, 931, 923, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,551,931,923,167

Given numbers are 844,551,931,923,167

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

The LCM of 844,551,931,923,167 is 3512435012996.

Find LCM of 844,551,931,923,167 with Prime Factorization


19 844, 551, 931, 923, 167
844, 29, 49, 923, 167

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

19 x 844 x 29 x 49 x 923 x 167 = 3512435012996

Therefore, the lowest common multiple of 844,551,931,923,167 is 3512435012996.

LCM Formula to Find Lowest Common Multiple of 844,551,931,923,167

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.

844 x 551 x 931 x 923 x 167 = 66736265246924

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.

844 : 1, 2, 4, 211, 422, 844

551 : 1, 19, 29, 551

931 : 1, 7, 19, 49, 133, 931

923 : 1, 13, 71, 923

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,551,931,923,167, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

551:19x 29

931:7x 7x 19

923:13x 71

167:167

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 = 66736265246924/(1x19)

LCM = 66736265246924/19

LCM = 3512435012996

Thus, we can understand that the LCM of 844,551,931,923,167 is 3512435012996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 551, 931, 923, 167

1. What is the LCM of 844, 551, 931, 923, 167?

Answer: LCM of 844, 551, 931, 923, 167 is 3512435012996.

2. How to calculate the LCM of 844, 551, 931, 923, 167?

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 844, 551, 931, 923, 167.

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}.