Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/348, 5867/4609 quickly i.e. 352020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/348, 5867/4609 is 352020.
LCM(60/348, 5867/4609) = 352020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/348,5867/4609
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 60,5867
Least Common Multiple of Numerators i.e. LCM of 60,5867 is 352020.
GCF of Denominators means GCF of 348,4609 as per the given fractions.
GCF of 348,4609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,5867
Given numbers has no common factors except 1. So, there LCM is their product i.e 352020
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 60,5867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,5867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,5867) x common factors =1 x 1 = 1
LCM(60,5867) = ( 60 × 5867 ) / 1
LCM(60,5867) = 352020 / 1
LCM(60,5867) = 352020
Lets's calculate GCF of 348,4609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352020/1
Therefore the LCM of Fractions 60/348,5867/4609 is 352020
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 4609
List of positive integer factors of 4609 that divides 4609 without a remainder.
1,11,419,4609
Greatest Common Factor
We found the factors 348,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 348,4609 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 60/348, 5867/4609?
Answer: LCM of Numerators as per given numbers 60/348, 5867/4609 is
LCM of Numerators i.e. for 60,5867 is 352020
GCF of denominators i.e. for 348,4609 is 1.
Thus, LCM of Fractions is 352020.Finally, LCM of Fractions for 60/348, 5867/4609 is 352020.