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LCM of 491, 491, 221

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


Find the LCM of 491, 491, 221 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 491, 491, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,491,221

Given numbers are 491,491,221

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

The LCM of 491,491,221 is 108511.

Find LCM of 491,491,221 with Prime Factorization


491 491, 491, 221
1, 1, 221

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

491 x 1 x 1 x 221 = 108511

Therefore, the lowest common multiple of 491,491,221 is 108511.

LCM Formula to Find Lowest Common Multiple of 491,491,221

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.

491 x 491 x 221 = 53278901

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.

491 : 1, 491

491 : 1, 491

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,491,221, is 1.

Now, the common factors can be found like this.

491:491

491:491

221:13x 17

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

491 = 491

Therefore, the value for common factors is 491.

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 = 53278901/(1x491)

LCM = 53278901/491

LCM = 108511

Thus, we can understand that the LCM of 491,491,221 is 108511.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 491, 491, 221

1. What is the LCM of 491, 491, 221?

Answer: LCM of 491, 491, 221 is 108511.

2. How to calculate the LCM of 491, 491, 221?

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 491, 491, 221.

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}.