Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 533/71, 237/7713 quickly i.e. 126321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 533/71, 237/7713 is 126321.
LCM(533/71, 237/7713) = 126321
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 533/71,237/7713
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 533,237
Least Common Multiple of Numerators i.e. LCM of 533,237 is 126321.
GCF of Denominators means GCF of 71,7713 as per the given fractions.
GCF of 71,7713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 533,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 126321
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 533,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,237) x common factors =1 x 1 = 1
LCM(533,237) = ( 533 × 237 ) / 1
LCM(533,237) = 126321 / 1
LCM(533,237) = 126321
Lets's calculate GCF of 71,7713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126321/1
Therefore the LCM of Fractions 533/71,237/7713 is 126321
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1,3,9,857,2571,7713
Greatest Common Factor
We found the factors 71,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 71,7713 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 533/71, 237/7713?
Answer: LCM of Numerators as per given numbers 533/71, 237/7713 is
LCM of Numerators i.e. for 533,237 is 126321
GCF of denominators i.e. for 71,7713 is 1.
Thus, LCM of Fractions is 126321.Finally, LCM of Fractions for 533/71, 237/7713 is 126321.