Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/653, 3152/3650 quickly i.e. 2940816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/653, 3152/3650 is 2940816.
LCM(933/653, 3152/3650) = 2940816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/653,3152/3650
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 933,3152
Least Common Multiple of Numerators i.e. LCM of 933,3152 is 2940816.
GCF of Denominators means GCF of 653,3650 as per the given fractions.
GCF of 653,3650 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,3152
Given numbers has no common factors except 1. So, there LCM is their product i.e 2940816
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 933,3152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,3152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,3152) x common factors =1 x 1 = 1
LCM(933,3152) = ( 933 × 3152 ) / 1
LCM(933,3152) = 2940816 / 1
LCM(933,3152) = 2940816
Lets's calculate GCF of 653,3650
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2940816/1
Therefore the LCM of Fractions 933/653,3152/3650 is 2940816
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 3650
List of positive integer factors of 3650 that divides 3650 without a remainder.
1,2,5,10,25,50,73,146,365,730,1825,3650
Greatest Common Factor
We found the factors 653,3650 . The biggest common factor number is the GCF number.
So the greatest common factor 653,3650 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 933/653, 3152/3650?
Answer: LCM of Numerators as per given numbers 933/653, 3152/3650 is
LCM of Numerators i.e. for 933,3152 is 2940816
GCF of denominators i.e. for 653,3650 is 1.
Thus, LCM of Fractions is 2940816.Finally, LCM of Fractions for 933/653, 3152/3650 is 2940816.