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LCM of 633, 981, 538

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


Find the LCM of 633, 981, 538 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 633, 981, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,981,538

Given numbers are 633,981,538

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

The LCM of 633,981,538 is 111361158.

Find LCM of 633,981,538 with Prime Factorization


3 633, 981, 538
211, 327, 538

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

3 x 211 x 327 x 538 = 111361158

Therefore, the lowest common multiple of 633,981,538 is 111361158.

LCM Formula to Find Lowest Common Multiple of 633,981,538

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.

633 x 981 x 538 = 334083474

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.

633 : 1, 3, 211, 633

981 : 1, 3, 9, 109, 327, 981

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,981,538, is 1.

Now, the common factors can be found like this.

633:3x 211

981:3x 3x 109

538:2x 269

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

3 = 3

Therefore, the value for common factors is 3.

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 = 334083474/(1x3)

LCM = 334083474/3

LCM = 111361158

Thus, we can understand that the LCM of 633,981,538 is 111361158.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 633, 981, 538

1. What is the LCM of 633, 981, 538?

Answer: LCM of 633, 981, 538 is 111361158.

2. How to calculate the LCM of 633, 981, 538?

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 633, 981, 538.

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}.