Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/77, 80/32, 85/76, 60/159 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 62/77, 80/32, 85/76, 60/159 is 126480.
LCM(62/77, 80/32, 85/76, 60/159) = 126480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/77,80/32,85/76,60/159
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 62,80,85,60
Least Common Multiple of Numerators i.e. LCM of 62,80,85,60 is 126480.
GCF of Denominators means GCF of 77,32,76,159 as per the given fractions.
GCF of 77,32,76,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,80,85,60
2 | 62, 80, 85, 60 |
2 | 31, 40, 85, 30 |
5 | 31, 20, 85, 15 |
31, 4, 17, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 4 x 17 x 3 = 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 62,80,85,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,80,85,60) = 1
common factors(in case of two or more numbers have common factors) = 200
GCF(62,80,85,60) x common factors =1 x 200 = 200
LCM(62,80,85,60) = ( 62 × 80 × 85 × 60 ) / 200
LCM(62,80,85,60) = 25296000 / 200
LCM(62,80,85,60) = 126480
Lets's calculate GCF of 77,32,76,159
∴ 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 62/77,80/32,85/76,60/159 is 126480
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 77,32,76,159 . The biggest common factor number is the GCF number.
So the greatest common factor 77,32,76,159 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 62/77, 80/32, 85/76, 60/159?
Answer: LCM of Numerators as per given numbers 62/77, 80/32, 85/76, 60/159 is
LCM of Numerators i.e. for 62,80,85,60 is 126480
GCF of denominators i.e. for 77,32,76,159 is 1.
Thus, LCM of Fractions is 126480.Finally, LCM of Fractions for 62/77, 80/32, 85/76, 60/159 is 126480.