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LCM of 839, 963, 867, 744

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


Find the LCM of 839, 963, 867, 744 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 839, 963, 867, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,963,867,744

Given numbers are 839,963,867,744

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

The LCM of 839,963,867,744 is 57907894104.

Find LCM of 839,963,867,744 with Prime Factorization


3 839, 963, 867, 744
839, 321, 289, 248

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

3 x 839 x 321 x 289 x 248 = 57907894104

Therefore, the lowest common multiple of 839,963,867,744 is 57907894104.

LCM Formula to Find Lowest Common Multiple of 839,963,867,744

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.

839 x 963 x 867 x 744 = 521171046936

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.

839 : 1, 839

963 : 1, 3, 9, 107, 321, 963

867 : 1, 3, 17, 51, 289, 867

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,963,867,744, is 1.

Now, the common factors can be found like this.

839:839

963:3x 3x 107

867:3x 17x 17

744:2x 2x 2x 3x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 521171046936/(1x9)

LCM = 521171046936/9

LCM = 57907894104

Thus, we can understand that the LCM of 839,963,867,744 is 57907894104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 963, 867, 744

1. What is the LCM of 839, 963, 867, 744?

Answer: LCM of 839, 963, 867, 744 is 57907894104.

2. How to calculate the LCM of 839, 963, 867, 744?

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 839, 963, 867, 744.

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}.