Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 354/24, 373/3236 quickly i.e. 132042/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 354/24, 373/3236 is 132042/4.
LCM(354/24, 373/3236) = 132042/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 354/24,373/3236
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 354,373
Least Common Multiple of Numerators i.e. LCM of 354,373 is 132042.
GCF of Denominators means GCF of 24,3236 as per the given fractions.
GCF of 24,3236 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 354,373
Given numbers has no common factors except 1. So, there LCM is their product i.e 132042
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 354,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,373) x common factors =1 x 1 = 1
LCM(354,373) = ( 354 × 373 ) / 1
LCM(354,373) = 132042 / 1
LCM(354,373) = 132042
Lets's calculate GCF of 24,3236
2 | 24, 3236 |
2 | 12, 1618 |
6, 809 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132042/4
Therefore the LCM of Fractions 354/24,373/3236 is 132042/4
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 3236
List of positive integer factors of 3236 that divides 3236 without a remainder.
1,2,4,809,1618,3236
Greatest Common Factor
We found the factors 24,3236 . The biggest common factor number is the GCF number.
So the greatest common factor 24,3236 is 4.
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 354/24, 373/3236?
Answer: LCM of Numerators as per given numbers 354/24, 373/3236 is
LCM of Numerators i.e. for 354,373 is 132042
GCF of denominators i.e. for 24,3236 is 4.
Thus, LCM of Fractions is 132042/4.Finally, LCM of Fractions for 354/24, 373/3236 is 132042/4.