Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 370/472, 6241/2735 quickly i.e. 2309170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 370/472, 6241/2735 is 2309170.
LCM(370/472, 6241/2735) = 2309170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 370/472,6241/2735
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 370,6241
Least Common Multiple of Numerators i.e. LCM of 370,6241 is 2309170.
GCF of Denominators means GCF of 472,2735 as per the given fractions.
GCF of 472,2735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 370,6241
Given numbers has no common factors except 1. So, there LCM is their product i.e 2309170
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 370,6241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,6241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,6241) x common factors =1 x 1 = 1
LCM(370,6241) = ( 370 × 6241 ) / 1
LCM(370,6241) = 2309170 / 1
LCM(370,6241) = 2309170
Lets's calculate GCF of 472,2735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2309170/1
Therefore the LCM of Fractions 370/472,6241/2735 is 2309170
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 2735
List of positive integer factors of 2735 that divides 2735 without a remainder.
1,5,547,2735
Greatest Common Factor
We found the factors 472,2735 . The biggest common factor number is the GCF number.
So the greatest common factor 472,2735 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 370/472, 6241/2735?
Answer: LCM of Numerators as per given numbers 370/472, 6241/2735 is
LCM of Numerators i.e. for 370,6241 is 2309170
GCF of denominators i.e. for 472,2735 is 1.
Thus, LCM of Fractions is 2309170.Finally, LCM of Fractions for 370/472, 6241/2735 is 2309170.