Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/625, 49/952, 134/161 quickly i.e. 196980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/625, 49/952, 134/161 is 196980.
LCM(60/625, 49/952, 134/161) = 196980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/625,49/952,134/161
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 60,49,134
Least Common Multiple of Numerators i.e. LCM of 60,49,134 is 196980.
GCF of Denominators means GCF of 625,952,161 as per the given fractions.
GCF of 625,952,161 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,49,134
2 | 60, 49, 134 |
30, 49, 67 |
∴ So the LCM of the given numbers is 2 x 30 x 49 x 67 = 196980
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 60,49,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,49,134) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(60,49,134) x common factors =1 x 2 = 2
LCM(60,49,134) = ( 60 × 49 × 134 ) / 2
LCM(60,49,134) = 393960 / 2
LCM(60,49,134) = 196980
Lets's calculate GCF of 625,952,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196980/1
Therefore the LCM of Fractions 60/625,49/952,134/161 is 196980
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 625,952,161 . The biggest common factor number is the GCF number.
So the greatest common factor 625,952,161 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 60/625, 49/952, 134/161?
Answer: LCM of Numerators as per given numbers 60/625, 49/952, 134/161 is
LCM of Numerators i.e. for 60,49,134 is 196980
GCF of denominators i.e. for 625,952,161 is 1.
Thus, LCM of Fractions is 196980.Finally, LCM of Fractions for 60/625, 49/952, 134/161 is 196980.