Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/64, 55/609, 543/439 quickly i.e. 836220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/64, 55/609, 543/439 is 836220.
LCM(28/64, 55/609, 543/439) = 836220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/64,55/609,543/439
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 28,55,543
Least Common Multiple of Numerators i.e. LCM of 28,55,543 is 836220.
GCF of Denominators means GCF of 64,609,439 as per the given fractions.
GCF of 64,609,439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,55,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 836220
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 28,55,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,55,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,55,543) x common factors =1 x 1 = 1
LCM(28,55,543) = ( 28 × 55 × 543 ) / 1
LCM(28,55,543) = 836220 / 1
LCM(28,55,543) = 836220
Lets's calculate GCF of 64,609,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 836220/1
Therefore the LCM of Fractions 28/64,55/609,543/439 is 836220
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 64,609,439 . The biggest common factor number is the GCF number.
So the greatest common factor 64,609,439 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 28/64, 55/609, 543/439?
Answer: LCM of Numerators as per given numbers 28/64, 55/609, 543/439 is
LCM of Numerators i.e. for 28,55,543 is 836220
GCF of denominators i.e. for 64,609,439 is 1.
Thus, LCM of Fractions is 836220.Finally, LCM of Fractions for 28/64, 55/609, 543/439 is 836220.