Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/250, 61/162, 240/439 quickly i.e. 248880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/250, 61/162, 240/439 is 248880.
LCM(85/250, 61/162, 240/439) = 248880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/250,61/162,240/439
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 85,61,240
Least Common Multiple of Numerators i.e. LCM of 85,61,240 is 248880.
GCF of Denominators means GCF of 250,162,439 as per the given fractions.
GCF of 250,162,439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,61,240
5 | 85, 61, 240 |
17, 61, 48 |
∴ So the LCM of the given numbers is 5 x 17 x 61 x 48 = 248880
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 85,61,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,61,240) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,61,240) x common factors =1 x 5 = 5
LCM(85,61,240) = ( 85 × 61 × 240 ) / 5
LCM(85,61,240) = 1244400 / 5
LCM(85,61,240) = 248880
Lets's calculate GCF of 250,162,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248880/1
Therefore the LCM of Fractions 85/250,61/162,240/439 is 248880
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 250,162,439 . The biggest common factor number is the GCF number.
So the greatest common factor 250,162,439 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 85/250, 61/162, 240/439?
Answer: LCM of Numerators as per given numbers 85/250, 61/162, 240/439 is
LCM of Numerators i.e. for 85,61,240 is 248880
GCF of denominators i.e. for 250,162,439 is 1.
Thus, LCM of Fractions is 248880.Finally, LCM of Fractions for 85/250, 61/162, 240/439 is 248880.