Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/95, 85/30, 277/125 quickly i.e. 367302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/95, 85/30, 277/125 is 367302.
LCM(78/95, 85/30, 277/125) = 367302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/95,85/30,277/125
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 78,85,277
Least Common Multiple of Numerators i.e. LCM of 78,85,277 is 1836510.
GCF of Denominators means GCF of 95,30,125 as per the given fractions.
GCF of 95,30,125 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,85,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836510
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 78,85,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,85,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,85,277) x common factors =1 x 1 = 1
LCM(78,85,277) = ( 78 × 85 × 277 ) / 1
LCM(78,85,277) = 1836510 / 1
LCM(78,85,277) = 1836510
Lets's calculate GCF of 95,30,125
5 | 95, 30, 125 |
19, 6, 25 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1836510/5
Therefore the LCM of Fractions 78/95,85/30,277/125 is 367302
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 95,30,125 . The biggest common factor number is the GCF number.
So the greatest common factor 95,30,125 is 5.
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 78/95, 85/30, 277/125?
Answer: LCM of Numerators as per given numbers 78/95, 85/30, 277/125 is
LCM of Numerators i.e. for 78,85,277 is 1836510
GCF of denominators i.e. for 95,30,125 is 5.
Thus, LCM of Fractions is 367302.Finally, LCM of Fractions for 78/95, 85/30, 277/125 is 367302.