Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2055/189, 3370/9771 quickly i.e. 461690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2055/189, 3370/9771 is 461690.
LCM(2055/189, 3370/9771) = 461690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2055/189,3370/9771
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 2055,3370
Least Common Multiple of Numerators i.e. LCM of 2055,3370 is 1385070.
GCF of Denominators means GCF of 189,9771 as per the given fractions.
GCF of 189,9771 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2055,3370
5 | 2055, 3370 |
411, 674 |
∴ So the LCM of the given numbers is 5 x 411 x 674 = 1385070
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 2055,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2055,3370) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2055,3370) x common factors =5 x 1 = 5
LCM(2055,3370) = ( 2055 × 3370 ) / 5
LCM(2055,3370) = 6925350 / 5
LCM(2055,3370) = 1385070
Lets's calculate GCF of 189,9771
3 | 189, 9771 |
63, 3257 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1385070/3
Therefore the LCM of Fractions 2055/189,3370/9771 is 461690
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 9771
List of positive integer factors of 9771 that divides 9771 without a remainder.
1,3,3257,9771
Greatest Common Factor
We found the factors 189,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 189,9771 is 3.
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 2055/189, 3370/9771?
Answer: LCM of Numerators as per given numbers 2055/189, 3370/9771 is
LCM of Numerators i.e. for 2055,3370 is 1385070
GCF of denominators i.e. for 189,9771 is 3.
Thus, LCM of Fractions is 461690.Finally, LCM of Fractions for 2055/189, 3370/9771 is 461690.