Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 292/24, 3253/437 quickly i.e. 949876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 292/24, 3253/437 is 949876.
LCM(292/24, 3253/437) = 949876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 292/24,3253/437
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 292,3253
Least Common Multiple of Numerators i.e. LCM of 292,3253 is 949876.
GCF of Denominators means GCF of 24,437 as per the given fractions.
GCF of 24,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 292,3253
Given numbers has no common factors except 1. So, there LCM is their product i.e 949876
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 292,3253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,3253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,3253) x common factors =1 x 1 = 1
LCM(292,3253) = ( 292 × 3253 ) / 1
LCM(292,3253) = 949876 / 1
LCM(292,3253) = 949876
Lets's calculate GCF of 24,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949876/1
Therefore the LCM of Fractions 292/24,3253/437 is 949876
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 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 24,437 . The biggest common factor number is the GCF number.
So the greatest common factor 24,437 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 292/24, 3253/437?
Answer: LCM of Numerators as per given numbers 292/24, 3253/437 is
LCM of Numerators i.e. for 292,3253 is 949876
GCF of denominators i.e. for 24,437 is 1.
Thus, LCM of Fractions is 949876.Finally, LCM of Fractions for 292/24, 3253/437 is 949876.