Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/54, 813/7442 quickly i.e. 183738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/54, 813/7442 is 183738.
LCM(452/54, 813/7442) = 183738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/54,813/7442
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 452,813
Least Common Multiple of Numerators i.e. LCM of 452,813 is 367476.
GCF of Denominators means GCF of 54,7442 as per the given fractions.
GCF of 54,7442 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 367476
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 452,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,813) x common factors =1 x 1 = 1
LCM(452,813) = ( 452 × 813 ) / 1
LCM(452,813) = 367476 / 1
LCM(452,813) = 367476
Lets's calculate GCF of 54,7442
2 | 54, 7442 |
27, 3721 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367476/2
Therefore the LCM of Fractions 452/54,813/7442 is 183738
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 7442
List of positive integer factors of 7442 that divides 7442 without a remainder.
1,2,61,122,3721,7442
Greatest Common Factor
We found the factors 54,7442 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7442 is 2.
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 452/54, 813/7442?
Answer: LCM of Numerators as per given numbers 452/54, 813/7442 is
LCM of Numerators i.e. for 452,813 is 367476
GCF of denominators i.e. for 54,7442 is 2.
Thus, LCM of Fractions is 183738.Finally, LCM of Fractions for 452/54, 813/7442 is 183738.