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LCM of 913, 963, 727, 538, 913

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


Find the LCM of 913, 963, 727, 538, 913 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 913, 963, 727, 538, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,963,727,538,913

Given numbers are 913,963,727,538,913

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

The LCM of 913,963,727,538,913 is 343885410594.

Find LCM of 913,963,727,538,913 with Prime Factorization


11 913, 963, 727, 538, 913
83 83, 963, 727, 538, 83
1, 963, 727, 538, 1

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

11 x 83 x 1 x 963 x 727 x 538 x 1 = 343885410594

Therefore, the lowest common multiple of 913,963,727,538,913 is 343885410594.

LCM Formula to Find Lowest Common Multiple of 913,963,727,538,913

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.

913 x 963 x 727 x 538 x 913 = 313967379872322

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.

913 : 1, 11, 83, 913

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

727 : 1, 727

538 : 1, 2, 269, 538

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,963,727,538,913, is 1.

Now, the common factors can be found like this.

913:11x 83

963:3x 3x 107

727:727

538:2x 269

913:11x 83

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

11x 83 = 913

Therefore, the value for common factors is 913.

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 = 313967379872322/(1x913)

LCM = 313967379872322/913

LCM = 343885410594

Thus, we can understand that the LCM of 913,963,727,538,913 is 343885410594.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 963, 727, 538, 913

1. What is the LCM of 913, 963, 727, 538, 913?

Answer: LCM of 913, 963, 727, 538, 913 is 343885410594.

2. How to calculate the LCM of 913, 963, 727, 538, 913?

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 913, 963, 727, 538, 913.

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}.