Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/27, 78/22, 677/331 quickly i.e. 1795404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/27, 78/22, 677/331 is 1795404.
LCM(68/27, 78/22, 677/331) = 1795404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/27,78/22,677/331
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 68,78,677
Least Common Multiple of Numerators i.e. LCM of 68,78,677 is 1795404.
GCF of Denominators means GCF of 27,22,331 as per the given fractions.
GCF of 27,22,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,78,677
2 | 68, 78, 677 |
34, 39, 677 |
∴ So the LCM of the given numbers is 2 x 34 x 39 x 677 = 1795404
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 68,78,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,78,677) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(68,78,677) x common factors =1 x 2 = 2
LCM(68,78,677) = ( 68 × 78 × 677 ) / 2
LCM(68,78,677) = 3590808 / 2
LCM(68,78,677) = 1795404
Lets's calculate GCF of 27,22,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1795404/1
Therefore the LCM of Fractions 68/27,78/22,677/331 is 1795404
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 27,22,331 . The biggest common factor number is the GCF number.
So the greatest common factor 27,22,331 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 68/27, 78/22, 677/331?
Answer: LCM of Numerators as per given numbers 68/27, 78/22, 677/331 is
LCM of Numerators i.e. for 68,78,677 is 1795404
GCF of denominators i.e. for 27,22,331 is 1.
Thus, LCM of Fractions is 1795404.Finally, LCM of Fractions for 68/27, 78/22, 677/331 is 1795404.