Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/851, 97/703 quickly i.e. 3977/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/851, 97/703 is 3977/37.
LCM(41/851, 97/703) = 3977/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/851,97/703
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 41,97
Least Common Multiple of Numerators i.e. LCM of 41,97 is 3977.
GCF of Denominators means GCF of 851,703 as per the given fractions.
GCF of 851,703 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 3977
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 41,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,97) x common factors =1 x 1 = 1
LCM(41,97) = ( 41 × 97 ) / 1
LCM(41,97) = 3977 / 1
LCM(41,97) = 3977
Lets's calculate GCF of 851,703
37 | 851, 703 |
23, 19 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3977/37
Therefore the LCM of Fractions 41/851,97/703 is 3977/37
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 851,703 . The biggest common factor number is the GCF number.
So the greatest common factor 851,703 is 37.
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 41/851, 97/703?
Answer: LCM of Numerators as per given numbers 41/851, 97/703 is
LCM of Numerators i.e. for 41,97 is 3977
GCF of denominators i.e. for 851,703 is 37.
Thus, LCM of Fractions is 3977/37.Finally, LCM of Fractions for 41/851, 97/703 is 3977/37.