Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7234/82, 4055/123 quickly i.e. 29333870/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7234/82, 4055/123 is 29333870/41.
LCM(7234/82, 4055/123) = 29333870/41
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7234/82,4055/123
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 7234,4055
Least Common Multiple of Numerators i.e. LCM of 7234,4055 is 29333870.
GCF of Denominators means GCF of 82,123 as per the given fractions.
GCF of 82,123 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7234,4055
Given numbers has no common factors except 1. So, there LCM is their product i.e 29333870
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 7234,4055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7234,4055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7234,4055) x common factors =1 x 1 = 1
LCM(7234,4055) = ( 7234 × 4055 ) / 1
LCM(7234,4055) = 29333870 / 1
LCM(7234,4055) = 29333870
Lets's calculate GCF of 82,123
41 | 82, 123 |
2, 3 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29333870/41
Therefore the LCM of Fractions 7234/82,4055/123 is 29333870/41
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 82,123 . The biggest common factor number is the GCF number.
So the greatest common factor 82,123 is 41.
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 7234/82, 4055/123?
Answer: LCM of Numerators as per given numbers 7234/82, 4055/123 is
LCM of Numerators i.e. for 7234,4055 is 29333870
GCF of denominators i.e. for 82,123 is 41.
Thus, LCM of Fractions is 29333870/41.Finally, LCM of Fractions for 7234/82, 4055/123 is 29333870/41.