Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 529/77, 266/7842 quickly i.e. 140714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 529/77, 266/7842 is 140714.
LCM(529/77, 266/7842) = 140714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 529/77,266/7842
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 529,266
Least Common Multiple of Numerators i.e. LCM of 529,266 is 140714.
GCF of Denominators means GCF of 77,7842 as per the given fractions.
GCF of 77,7842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 529,266
Given numbers has no common factors except 1. So, there LCM is their product i.e 140714
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 529,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,266) x common factors =1 x 1 = 1
LCM(529,266) = ( 529 × 266 ) / 1
LCM(529,266) = 140714 / 1
LCM(529,266) = 140714
Lets's calculate GCF of 77,7842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140714/1
Therefore the LCM of Fractions 529/77,266/7842 is 140714
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 7842
List of positive integer factors of 7842 that divides 7842 without a remainder.
1,2,3,6,1307,2614,3921,7842
Greatest Common Factor
We found the factors 77,7842 . The biggest common factor number is the GCF number.
So the greatest common factor 77,7842 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 529/77, 266/7842?
Answer: LCM of Numerators as per given numbers 529/77, 266/7842 is
LCM of Numerators i.e. for 529,266 is 140714
GCF of denominators i.e. for 77,7842 is 1.
Thus, LCM of Fractions is 140714.Finally, LCM of Fractions for 529/77, 266/7842 is 140714.