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LCM of 967, 114, 333, 893, 727

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


Find the LCM of 967, 114, 333, 893, 727 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 967, 114, 333, 893, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,114,333,893,727

Given numbers are 967,114,333,893,727

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

The LCM of 967,114,333,893,727 is 418106166642.

Find LCM of 967,114,333,893,727 with Prime Factorization


3 967, 114, 333, 893, 727
19 967, 38, 111, 893, 727
967, 2, 111, 47, 727

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

3 x 19 x 967 x 2 x 111 x 47 x 727 = 418106166642

Therefore, the lowest common multiple of 967,114,333,893,727 is 418106166642.

LCM Formula to Find Lowest Common Multiple of 967,114,333,893,727

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.

967 x 114 x 333 x 893 x 727 = 23832051498594

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.

967 : 1, 967

114 : 1, 2, 3, 6, 19, 38, 57, 114

333 : 1, 3, 9, 37, 111, 333

893 : 1, 19, 47, 893

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,114,333,893,727, is 1.

Now, the common factors can be found like this.

967:967

114:2x 3x 19

333:3x 3x 37

893:19x 47

727:727

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 23832051498594/(1x57)

LCM = 23832051498594/57

LCM = 418106166642

Thus, we can understand that the LCM of 967,114,333,893,727 is 418106166642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 114, 333, 893, 727

1. What is the LCM of 967, 114, 333, 893, 727?

Answer: LCM of 967, 114, 333, 893, 727 is 418106166642.

2. How to calculate the LCM of 967, 114, 333, 893, 727?

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 967, 114, 333, 893, 727.

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}.