Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/841, 231/327, 701/223 quickly i.e. 4048275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/841, 231/327, 701/223 is 4048275.
LCM(25/841, 231/327, 701/223) = 4048275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/841,231/327,701/223
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 25,231,701
Least Common Multiple of Numerators i.e. LCM of 25,231,701 is 4048275.
GCF of Denominators means GCF of 841,327,223 as per the given fractions.
GCF of 841,327,223 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,231,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 4048275
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 25,231,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,231,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,231,701) x common factors =1 x 1 = 1
LCM(25,231,701) = ( 25 × 231 × 701 ) / 1
LCM(25,231,701) = 4048275 / 1
LCM(25,231,701) = 4048275
Lets's calculate GCF of 841,327,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4048275/1
Therefore the LCM of Fractions 25/841,231/327,701/223 is 4048275
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Greatest Common Factor
We found the factors 841,327,223 . The biggest common factor number is the GCF number.
So the greatest common factor 841,327,223 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 25/841, 231/327, 701/223?
Answer: LCM of Numerators as per given numbers 25/841, 231/327, 701/223 is
LCM of Numerators i.e. for 25,231,701 is 4048275
GCF of denominators i.e. for 841,327,223 is 1.
Thus, LCM of Fractions is 4048275.Finally, LCM of Fractions for 25/841, 231/327, 701/223 is 4048275.