Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/774, 629/137, 683/236 quickly i.e. 23628385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/774, 629/137, 683/236 is 23628385.
LCM(55/774, 629/137, 683/236) = 23628385
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/774,629/137,683/236
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 55,629,683
Least Common Multiple of Numerators i.e. LCM of 55,629,683 is 23628385.
GCF of Denominators means GCF of 774,137,236 as per the given fractions.
GCF of 774,137,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,629,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 23628385
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 55,629,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,629,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,629,683) x common factors =1 x 1 = 1
LCM(55,629,683) = ( 55 × 629 × 683 ) / 1
LCM(55,629,683) = 23628385 / 1
LCM(55,629,683) = 23628385
Lets's calculate GCF of 774,137,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23628385/1
Therefore the LCM of Fractions 55/774,629/137,683/236 is 23628385
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 774,137,236 . The biggest common factor number is the GCF number.
So the greatest common factor 774,137,236 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 55/774, 629/137, 683/236?
Answer: LCM of Numerators as per given numbers 55/774, 629/137, 683/236 is
LCM of Numerators i.e. for 55,629,683 is 23628385
GCF of denominators i.e. for 774,137,236 is 1.
Thus, LCM of Fractions is 23628385.Finally, LCM of Fractions for 55/774, 629/137, 683/236 is 23628385.