Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5402/348, 7353/627 quickly i.e. 13240302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5402/348, 7353/627 is 13240302.
LCM(5402/348, 7353/627) = 13240302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5402/348,7353/627
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 5402,7353
Least Common Multiple of Numerators i.e. LCM of 5402,7353 is 39720906.
GCF of Denominators means GCF of 348,627 as per the given fractions.
GCF of 348,627 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5402,7353
Given numbers has no common factors except 1. So, there LCM is their product i.e 39720906
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 5402,7353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5402,7353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5402,7353) x common factors =1 x 1 = 1
LCM(5402,7353) = ( 5402 × 7353 ) / 1
LCM(5402,7353) = 39720906 / 1
LCM(5402,7353) = 39720906
Lets's calculate GCF of 348,627
3 | 348, 627 |
116, 209 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39720906/3
Therefore the LCM of Fractions 5402/348,7353/627 is 13240302
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 348,627 . The biggest common factor number is the GCF number.
So the greatest common factor 348,627 is 3.
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 5402/348, 7353/627?
Answer: LCM of Numerators as per given numbers 5402/348, 7353/627 is
LCM of Numerators i.e. for 5402,7353 is 39720906
GCF of denominators i.e. for 348,627 is 3.
Thus, LCM of Fractions is 13240302.Finally, LCM of Fractions for 5402/348, 7353/627 is 13240302.