Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2575/937, 4461/702 quickly i.e. 11487075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2575/937, 4461/702 is 11487075.
LCM(2575/937, 4461/702) = 11487075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2575/937,4461/702
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 2575,4461
Least Common Multiple of Numerators i.e. LCM of 2575,4461 is 11487075.
GCF of Denominators means GCF of 937,702 as per the given fractions.
GCF of 937,702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2575,4461
Given numbers has no common factors except 1. So, there LCM is their product i.e 11487075
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 2575,4461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2575,4461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2575,4461) x common factors =1 x 1 = 1
LCM(2575,4461) = ( 2575 × 4461 ) / 1
LCM(2575,4461) = 11487075 / 1
LCM(2575,4461) = 11487075
Lets's calculate GCF of 937,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11487075/1
Therefore the LCM of Fractions 2575/937,4461/702 is 11487075
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 937,702 . The biggest common factor number is the GCF number.
So the greatest common factor 937,702 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 2575/937, 4461/702?
Answer: LCM of Numerators as per given numbers 2575/937, 4461/702 is
LCM of Numerators i.e. for 2575,4461 is 11487075
GCF of denominators i.e. for 937,702 is 1.
Thus, LCM of Fractions is 11487075.Finally, LCM of Fractions for 2575/937, 4461/702 is 11487075.