LCM of 489, 634, 182, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 634, 182, 591 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 489, 634, 182, 591. So, keep reading to learn more.
Given numbers are 489,634,182,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,634,182,591 is 5557836102.
Find LCM of 489,634,182,591 with Prime Factorization
| 2 | 489, 634, 182, 591 |
| 3 | 489, 317, 91, 591 |
| 163, 317, 91, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 317 x 91 x 197 = 5557836102
Therefore, the lowest common multiple of 489,634,182,591 is 5557836102.
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.
489 x 634 x 182 x 591 = 33347016612
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.
489 : 1, 3, 163, 489
634 : 1, 2, 317, 634
182 : 1, 2, 7, 13, 14, 26, 91, 182
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,634,182,591, is 1.
Now, the common factors can be found like this.
489:3x 163
634:2x 317
182:2x 7x 13
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 33347016612/(1x6)
LCM = 33347016612/6
LCM = 5557836102
Thus, we can understand that the LCM of 489,634,182,591 is 5557836102.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 634, 182, 591
1. What is the LCM of 489, 634, 182, 591?
Answer: LCM of 489, 634, 182, 591 is 5557836102.
2. How to calculate the LCM of 489, 634, 182, 591?
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 489, 634, 182, 591.
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}.