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LCM of 273, 312, 481

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


Find the LCM of 273, 312, 481 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 273, 312, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,312,481

Given numbers are 273,312,481

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

The LCM of 273,312,481 is 80808.

Find LCM of 273,312,481 with Prime Factorization


3 273, 312, 481
13 91, 104, 481
7, 8, 37

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

3 x 13 x 7 x 8 x 37 = 80808

Therefore, the lowest common multiple of 273,312,481 is 80808.

LCM Formula to Find Lowest Common Multiple of 273,312,481

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.

273 x 312 x 481 = 40969656

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

481 : 1, 13, 37, 481

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,312,481, is 13.

Now, the common factors can be found like this.

273:3x 7x 13

312:2x 2x 2x 3x 13

481:13x 37

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 40969656/(13x39)

LCM = 40969656/507

LCM = 80808

Thus, we can understand that the LCM of 273,312,481 is 80808.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 273, 312, 481

1. What is the LCM of 273, 312, 481?

Answer: LCM of 273, 312, 481 is 80808.

2. How to calculate the LCM of 273, 312, 481?

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 273, 312, 481.

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}.