Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6230/375, 5491/3062 quickly i.e. 34208930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6230/375, 5491/3062 is 34208930.
LCM(6230/375, 5491/3062) = 34208930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6230/375,5491/3062
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 6230,5491
Least Common Multiple of Numerators i.e. LCM of 6230,5491 is 34208930.
GCF of Denominators means GCF of 375,3062 as per the given fractions.
GCF of 375,3062 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6230,5491
Given numbers has no common factors except 1. So, there LCM is their product i.e 34208930
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 6230,5491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6230,5491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6230,5491) x common factors =1 x 1 = 1
LCM(6230,5491) = ( 6230 × 5491 ) / 1
LCM(6230,5491) = 34208930 / 1
LCM(6230,5491) = 34208930
Lets's calculate GCF of 375,3062
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34208930/1
Therefore the LCM of Fractions 6230/375,5491/3062 is 34208930
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 3062
List of positive integer factors of 3062 that divides 3062 without a remainder.
1,2,1531,3062
Greatest Common Factor
We found the factors 375,3062 . The biggest common factor number is the GCF number.
So the greatest common factor 375,3062 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 6230/375, 5491/3062?
Answer: LCM of Numerators as per given numbers 6230/375, 5491/3062 is
LCM of Numerators i.e. for 6230,5491 is 34208930
GCF of denominators i.e. for 375,3062 is 1.
Thus, LCM of Fractions is 34208930.Finally, LCM of Fractions for 6230/375, 5491/3062 is 34208930.