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LCM of 484, 982, 738, 327

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


Find the LCM of 484, 982, 738, 327 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 484, 982, 738, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,982,738,327

Given numbers are 484,982,738,327

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

The LCM of 484,982,738,327 is 9558279324.

Find LCM of 484,982,738,327 with Prime Factorization


2 484, 982, 738, 327
3 242, 491, 369, 327
242, 491, 123, 109

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

2 x 3 x 242 x 491 x 123 x 109 = 9558279324

Therefore, the lowest common multiple of 484,982,738,327 is 9558279324.

LCM Formula to Find Lowest Common Multiple of 484,982,738,327

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.

484 x 982 x 738 x 327 = 114699351888

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

982 : 1, 2, 491, 982

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,982,738,327, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

982:2x 491

738:2x 3x 3x 41

327:3x 109

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 114699351888/(1x12)

LCM = 114699351888/12

LCM = 9558279324

Thus, we can understand that the LCM of 484,982,738,327 is 9558279324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 982, 738, 327

1. What is the LCM of 484, 982, 738, 327?

Answer: LCM of 484, 982, 738, 327 is 9558279324.

2. How to calculate the LCM of 484, 982, 738, 327?

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 484, 982, 738, 327.

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}.