Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4454/918, 3352/189 quickly i.e. 7464904/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4454/918, 3352/189 is 7464904/27.
LCM(4454/918, 3352/189) = 7464904/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4454/918,3352/189
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 4454,3352
Least Common Multiple of Numerators i.e. LCM of 4454,3352 is 7464904.
GCF of Denominators means GCF of 918,189 as per the given fractions.
GCF of 918,189 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4454,3352
2 | 4454, 3352 |
2227, 1676 |
∴ So the LCM of the given numbers is 2 x 2227 x 1676 = 7464904
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 4454,3352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4454,3352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4454,3352) x common factors =2 x 1 = 2
LCM(4454,3352) = ( 4454 × 3352 ) / 2
LCM(4454,3352) = 14929808 / 2
LCM(4454,3352) = 7464904
Lets's calculate GCF of 918,189
3 | 918, 189 |
3 | 306, 63 |
3 | 102, 21 |
34, 7 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7464904/27
Therefore the LCM of Fractions 4454/918,3352/189 is 7464904/27
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 918,189 . The biggest common factor number is the GCF number.
So the greatest common factor 918,189 is 27.
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 4454/918, 3352/189?
Answer: LCM of Numerators as per given numbers 4454/918, 3352/189 is
LCM of Numerators i.e. for 4454,3352 is 7464904
GCF of denominators i.e. for 918,189 is 27.
Thus, LCM of Fractions is 7464904/27.Finally, LCM of Fractions for 4454/918, 3352/189 is 7464904/27.