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LCM of 458, 637, 221

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


Find the LCM of 458, 637, 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 458, 637, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,637,221

Given numbers are 458,637,221

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

The LCM of 458,637,221 is 4959682.

Find LCM of 458,637,221 with Prime Factorization


13 458, 637, 221
458, 49, 17

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

13 x 458 x 49 x 17 = 4959682

Therefore, the lowest common multiple of 458,637,221 is 4959682.

LCM Formula to Find Lowest Common Multiple of 458,637,221

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.

458 x 637 x 221 = 64475866

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.

458 : 1, 2, 229, 458

637 : 1, 7, 13, 49, 91, 637

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,637,221, is 1.

Now, the common factors can be found like this.

458:2x 229

637:7x 7x 13

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 64475866/(1x13)

LCM = 64475866/13

LCM = 4959682

Thus, we can understand that the LCM of 458,637,221 is 4959682.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 458, 637, 221

1. What is the LCM of 458, 637, 221?

Answer: LCM of 458, 637, 221 is 4959682.

2. How to calculate the LCM of 458, 637, 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 458, 637, 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}.