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LCM of 825, 737, 632, 491, 483

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


Find the LCM of 825, 737, 632, 491, 483 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 825, 737, 632, 491, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,737,632,491,483

Given numbers are 825,737,632,491,483

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

The LCM of 825,737,632,491,483 is 2761551823800.

Find LCM of 825,737,632,491,483 with Prime Factorization


3 825, 737, 632, 491, 483
11 275, 737, 632, 491, 161
25, 67, 632, 491, 161

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

3 x 11 x 25 x 67 x 632 x 491 x 161 = 2761551823800

Therefore, the lowest common multiple of 825,737,632,491,483 is 2761551823800.

LCM Formula to Find Lowest Common Multiple of 825,737,632,491,483

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.

825 x 737 x 632 x 491 x 483 = 91131210185400

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

737 : 1, 11, 67, 737

632 : 1, 2, 4, 8, 79, 158, 316, 632

491 : 1, 491

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,737,632,491,483, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

737:11x 67

632:2x 2x 2x 79

491:491

483:3x 7x 23

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 91131210185400/(1x33)

LCM = 91131210185400/33

LCM = 2761551823800

Thus, we can understand that the LCM of 825,737,632,491,483 is 2761551823800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 737, 632, 491, 483

1. What is the LCM of 825, 737, 632, 491, 483?

Answer: LCM of 825, 737, 632, 491, 483 is 2761551823800.

2. How to calculate the LCM of 825, 737, 632, 491, 483?

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 825, 737, 632, 491, 483.

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}.