Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5478/867, 5445/219 quickly i.e. 301290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5478/867, 5445/219 is 301290.
LCM(5478/867, 5445/219) = 301290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5478/867,5445/219
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 5478,5445
Least Common Multiple of Numerators i.e. LCM of 5478,5445 is 903870.
GCF of Denominators means GCF of 867,219 as per the given fractions.
GCF of 867,219 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5478,5445
3 | 5478, 5445 |
11 | 1826, 1815 |
166, 165 |
∴ So the LCM of the given numbers is 3 x 11 x 166 x 165 = 903870
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 5478,5445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5478,5445) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(5478,5445) x common factors =33 x 1 = 33
LCM(5478,5445) = ( 5478 × 5445 ) / 33
LCM(5478,5445) = 29827710 / 33
LCM(5478,5445) = 903870
Lets's calculate GCF of 867,219
3 | 867, 219 |
289, 73 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 903870/3
Therefore the LCM of Fractions 5478/867,5445/219 is 301290
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 867,219 . The biggest common factor number is the GCF number.
So the greatest common factor 867,219 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 5478/867, 5445/219?
Answer: LCM of Numerators as per given numbers 5478/867, 5445/219 is
LCM of Numerators i.e. for 5478,5445 is 903870
GCF of denominators i.e. for 867,219 is 3.
Thus, LCM of Fractions is 301290.Finally, LCM of Fractions for 5478/867, 5445/219 is 301290.