Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 542/95, 261/9095 quickly i.e. 141462/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 542/95, 261/9095 is 141462/5.
LCM(542/95, 261/9095) = 141462/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 542/95,261/9095
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 542,261
Least Common Multiple of Numerators i.e. LCM of 542,261 is 141462.
GCF of Denominators means GCF of 95,9095 as per the given fractions.
GCF of 95,9095 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 542,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 141462
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 542,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,261) x common factors =1 x 1 = 1
LCM(542,261) = ( 542 × 261 ) / 1
LCM(542,261) = 141462 / 1
LCM(542,261) = 141462
Lets's calculate GCF of 95,9095
5 | 95, 9095 |
19, 1819 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141462/5
Therefore the LCM of Fractions 542/95,261/9095 is 141462/5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 9095
List of positive integer factors of 9095 that divides 9095 without a remainder.
1,5,17,85,107,535,1819,9095
Greatest Common Factor
We found the factors 95,9095 . The biggest common factor number is the GCF number.
So the greatest common factor 95,9095 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 542/95, 261/9095?
Answer: LCM of Numerators as per given numbers 542/95, 261/9095 is
LCM of Numerators i.e. for 542,261 is 141462
GCF of denominators i.e. for 95,9095 is 5.
Thus, LCM of Fractions is 141462/5.Finally, LCM of Fractions for 542/95, 261/9095 is 141462/5.