Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/57, 87/611, 68/763 quickly i.e. 41412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/57, 87/611, 68/763 is 41412.
LCM(7/57, 87/611, 68/763) = 41412
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/57,87/611,68/763
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 7,87,68
Least Common Multiple of Numerators i.e. LCM of 7,87,68 is 41412.
GCF of Denominators means GCF of 57,611,763 as per the given fractions.
GCF of 57,611,763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,87,68
Given numbers has no common factors except 1. So, there LCM is their product i.e 41412
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 7,87,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,87,68) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,87,68) x common factors =1 x 1 = 1
LCM(7,87,68) = ( 7 × 87 × 68 ) / 1
LCM(7,87,68) = 41412 / 1
LCM(7,87,68) = 41412
Lets's calculate GCF of 57,611,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41412/1
Therefore the LCM of Fractions 7/57,87/611,68/763 is 41412
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 57,611,763 . The biggest common factor number is the GCF number.
So the greatest common factor 57,611,763 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 7/57, 87/611, 68/763?
Answer: LCM of Numerators as per given numbers 7/57, 87/611, 68/763 is
LCM of Numerators i.e. for 7,87,68 is 41412
GCF of denominators i.e. for 57,611,763 is 1.
Thus, LCM of Fractions is 41412.Finally, LCM of Fractions for 7/57, 87/611, 68/763 is 41412.