Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/40, 60/86, 62/97, 48/86 quickly i.e. 126480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/40, 60/86, 62/97, 48/86 is 126480.
LCM(85/40, 60/86, 62/97, 48/86) = 126480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/40,60/86,62/97,48/86
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 85,60,62,48
Least Common Multiple of Numerators i.e. LCM of 85,60,62,48 is 126480.
GCF of Denominators means GCF of 40,86,97,86 as per the given fractions.
GCF of 40,86,97,86 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,60,62,48
2 | 85, 60, 62, 48 |
2 | 85, 30, 31, 24 |
3 | 85, 15, 31, 12 |
5 | 85, 5, 31, 4 |
17, 1, 31, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 1 x 31 x 4 = 126480
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 85,60,62,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,60,62,48) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(85,60,62,48) x common factors =1 x 120 = 120
LCM(85,60,62,48) = ( 85 × 60 × 62 × 48 ) / 120
LCM(85,60,62,48) = 15177600 / 120
LCM(85,60,62,48) = 126480
Lets's calculate GCF of 40,86,97,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126480/1
Therefore the LCM of Fractions 85/40,60/86,62/97,48/86 is 126480
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 40,86,97,86 . The biggest common factor number is the GCF number.
So the greatest common factor 40,86,97,86 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 85/40, 60/86, 62/97, 48/86?
Answer: LCM of Numerators as per given numbers 85/40, 60/86, 62/97, 48/86 is
LCM of Numerators i.e. for 85,60,62,48 is 126480
GCF of denominators i.e. for 40,86,97,86 is 1.
Thus, LCM of Fractions is 126480.Finally, LCM of Fractions for 85/40, 60/86, 62/97, 48/86 is 126480.