Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 536/284, 263/527 quickly i.e. 140968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 536/284, 263/527 is 140968.
LCM(536/284, 263/527) = 140968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 536/284,263/527
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 536,263
Least Common Multiple of Numerators i.e. LCM of 536,263 is 140968.
GCF of Denominators means GCF of 284,527 as per the given fractions.
GCF of 284,527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 536,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 140968
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 536,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,263) x common factors =1 x 1 = 1
LCM(536,263) = ( 536 × 263 ) / 1
LCM(536,263) = 140968 / 1
LCM(536,263) = 140968
Lets's calculate GCF of 284,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140968/1
Therefore the LCM of Fractions 536/284,263/527 is 140968
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 284,527 . The biggest common factor number is the GCF number.
So the greatest common factor 284,527 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 536/284, 263/527?
Answer: LCM of Numerators as per given numbers 536/284, 263/527 is
LCM of Numerators i.e. for 536,263 is 140968
GCF of denominators i.e. for 284,527 is 1.
Thus, LCM of Fractions is 140968.Finally, LCM of Fractions for 536/284, 263/527 is 140968.