Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/112, 11/683, 683/273 quickly i.e. 52591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/112, 11/683, 683/273 is 52591.
LCM(77/112, 11/683, 683/273) = 52591
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/112,11/683,683/273
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 77,11,683
Least Common Multiple of Numerators i.e. LCM of 77,11,683 is 52591.
GCF of Denominators means GCF of 112,683,273 as per the given fractions.
GCF of 112,683,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,11,683
11 | 77, 11, 683 |
7, 1, 683 |
∴ So the LCM of the given numbers is 11 x 7 x 1 x 683 = 52591
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 77,11,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,11,683) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(77,11,683) x common factors =1 x 11 = 11
LCM(77,11,683) = ( 77 × 11 × 683 ) / 11
LCM(77,11,683) = 578501 / 11
LCM(77,11,683) = 52591
Lets's calculate GCF of 112,683,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52591/1
Therefore the LCM of Fractions 77/112,11/683,683/273 is 52591
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 112,683,273 . The biggest common factor number is the GCF number.
So the greatest common factor 112,683,273 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 77/112, 11/683, 683/273?
Answer: LCM of Numerators as per given numbers 77/112, 11/683, 683/273 is
LCM of Numerators i.e. for 77,11,683 is 52591
GCF of denominators i.e. for 112,683,273 is 1.
Thus, LCM of Fractions is 52591.Finally, LCM of Fractions for 77/112, 11/683, 683/273 is 52591.