Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/301, 347/24, 572/859 quickly i.e. 7343908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/301, 347/24, 572/859 is 7343908.
LCM(37/301, 347/24, 572/859) = 7343908
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/301,347/24,572/859
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 37,347,572
Least Common Multiple of Numerators i.e. LCM of 37,347,572 is 7343908.
GCF of Denominators means GCF of 301,24,859 as per the given fractions.
GCF of 301,24,859 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,347,572
Given numbers has no common factors except 1. So, there LCM is their product i.e 7343908
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 37,347,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,347,572) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,347,572) x common factors =1 x 1 = 1
LCM(37,347,572) = ( 37 × 347 × 572 ) / 1
LCM(37,347,572) = 7343908 / 1
LCM(37,347,572) = 7343908
Lets's calculate GCF of 301,24,859
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7343908/1
Therefore the LCM of Fractions 37/301,347/24,572/859 is 7343908
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Greatest Common Factor
We found the factors 301,24,859 . The biggest common factor number is the GCF number.
So the greatest common factor 301,24,859 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 37/301, 347/24, 572/859?
Answer: LCM of Numerators as per given numbers 37/301, 347/24, 572/859 is
LCM of Numerators i.e. for 37,347,572 is 7343908
GCF of denominators i.e. for 301,24,859 is 1.
Thus, LCM of Fractions is 7343908.Finally, LCM of Fractions for 37/301, 347/24, 572/859 is 7343908.