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LCM of 606, 231, 234, 483, 221

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


Find the LCM of 606, 231, 234, 483, 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 606, 231, 234, 483, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,231,234,483,221

Given numbers are 606,231,234,483,221

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

The LCM of 606,231,234,483,221 is 711548838.

Find LCM of 606,231,234,483,221 with Prime Factorization


2 606, 231, 234, 483, 221
3 303, 231, 117, 483, 221
7 101, 77, 39, 161, 221
13 101, 11, 39, 23, 221
101, 11, 3, 23, 17

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

2 x 3 x 7 x 13 x 101 x 11 x 3 x 23 x 17 = 711548838

Therefore, the lowest common multiple of 606,231,234,483,221 is 711548838.

LCM Formula to Find Lowest Common Multiple of 606,231,234,483,221

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.

606 x 231 x 234 x 483 x 221 = 3496550989932

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

231 : 1, 3, 7, 11, 21, 33, 77, 231

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

483 : 1, 3, 7, 21, 23, 69, 161, 483

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,231,234,483,221, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

231:3x 7x 11

234:2x 3x 3x 13

483:3x 7x 23

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.

2x 3x 3x 3x 7x 13 = 4914

Therefore, the value for common factors is 4914.

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 = 3496550989932/(1x4914)

LCM = 3496550989932/4914

LCM = 711548838

Thus, we can understand that the LCM of 606,231,234,483,221 is 711548838.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 231, 234, 483, 221

1. What is the LCM of 606, 231, 234, 483, 221?

Answer: LCM of 606, 231, 234, 483, 221 is 711548838.

2. How to calculate the LCM of 606, 231, 234, 483, 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 606, 231, 234, 483, 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}.