Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/52, 91/24, 67/63, 19/344 quickly i.e. 5097092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/52, 91/24, 67/63, 19/344 is 5097092.
LCM(44/52, 91/24, 67/63, 19/344) = 5097092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/52,91/24,67/63,19/344
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 44,91,67,19
Least Common Multiple of Numerators i.e. LCM of 44,91,67,19 is 5097092.
GCF of Denominators means GCF of 52,24,63,344 as per the given fractions.
GCF of 52,24,63,344 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,91,67,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 5097092
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 44,91,67,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,91,67,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,91,67,19) x common factors =1 x 1 = 1
LCM(44,91,67,19) = ( 44 × 91 × 67 × 19 ) / 1
LCM(44,91,67,19) = 5097092 / 1
LCM(44,91,67,19) = 5097092
Lets's calculate GCF of 52,24,63,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5097092/1
Therefore the LCM of Fractions 44/52,91/24,67/63,19/344 is 5097092
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 52,24,63,344 . The biggest common factor number is the GCF number.
So the greatest common factor 52,24,63,344 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 44/52, 91/24, 67/63, 19/344?
Answer: LCM of Numerators as per given numbers 44/52, 91/24, 67/63, 19/344 is
LCM of Numerators i.e. for 44,91,67,19 is 5097092
GCF of denominators i.e. for 52,24,63,344 is 1.
Thus, LCM of Fractions is 5097092.Finally, LCM of Fractions for 44/52, 91/24, 67/63, 19/344 is 5097092.