Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 282/591, 505/329, 870/167 quickly i.e. 4129890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 282/591, 505/329, 870/167 is 4129890.
LCM(282/591, 505/329, 870/167) = 4129890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 282/591,505/329,870/167
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 282,505,870
Least Common Multiple of Numerators i.e. LCM of 282,505,870 is 4129890.
GCF of Denominators means GCF of 591,329,167 as per the given fractions.
GCF of 591,329,167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 282,505,870
2 | 282, 505, 870 |
3 | 141, 505, 435 |
5 | 47, 505, 145 |
47, 101, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 101 x 29 = 4129890
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 282,505,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,505,870) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(282,505,870) x common factors =1 x 30 = 30
LCM(282,505,870) = ( 282 × 505 × 870 ) / 30
LCM(282,505,870) = 123896700 / 30
LCM(282,505,870) = 4129890
Lets's calculate GCF of 591,329,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4129890/1
Therefore the LCM of Fractions 282/591,505/329,870/167 is 4129890
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 591,329,167 . The biggest common factor number is the GCF number.
So the greatest common factor 591,329,167 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 282/591, 505/329, 870/167?
Answer: LCM of Numerators as per given numbers 282/591, 505/329, 870/167 is
LCM of Numerators i.e. for 282,505,870 is 4129890
GCF of denominators i.e. for 591,329,167 is 1.
Thus, LCM of Fractions is 4129890.Finally, LCM of Fractions for 282/591, 505/329, 870/167 is 4129890.