Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/169, 54/446, 859/847 quickly i.e. 2551230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/169, 54/446, 859/847 is 2551230.
LCM(55/169, 54/446, 859/847) = 2551230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/169,54/446,859/847
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 55,54,859
Least Common Multiple of Numerators i.e. LCM of 55,54,859 is 2551230.
GCF of Denominators means GCF of 169,446,847 as per the given fractions.
GCF of 169,446,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,54,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 2551230
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 55,54,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,54,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,54,859) x common factors =1 x 1 = 1
LCM(55,54,859) = ( 55 × 54 × 859 ) / 1
LCM(55,54,859) = 2551230 / 1
LCM(55,54,859) = 2551230
Lets's calculate GCF of 169,446,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2551230/1
Therefore the LCM of Fractions 55/169,54/446,859/847 is 2551230
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 169,446,847 . The biggest common factor number is the GCF number.
So the greatest common factor 169,446,847 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 55/169, 54/446, 859/847?
Answer: LCM of Numerators as per given numbers 55/169, 54/446, 859/847 is
LCM of Numerators i.e. for 55,54,859 is 2551230
GCF of denominators i.e. for 169,446,847 is 1.
Thus, LCM of Fractions is 2551230.Finally, LCM of Fractions for 55/169, 54/446, 859/847 is 2551230.