Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/273, 875/997, 877/527 quickly i.e. 74435375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/273, 875/997, 877/527 is 74435375.
LCM(97/273, 875/997, 877/527) = 74435375
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/273,875/997,877/527
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 97,875,877
Least Common Multiple of Numerators i.e. LCM of 97,875,877 is 74435375.
GCF of Denominators means GCF of 273,997,527 as per the given fractions.
GCF of 273,997,527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,875,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 74435375
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 97,875,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,875,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,875,877) x common factors =1 x 1 = 1
LCM(97,875,877) = ( 97 × 875 × 877 ) / 1
LCM(97,875,877) = 74435375 / 1
LCM(97,875,877) = 74435375
Lets's calculate GCF of 273,997,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74435375/1
Therefore the LCM of Fractions 97/273,875/997,877/527 is 74435375
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 273,997,527 . The biggest common factor number is the GCF number.
So the greatest common factor 273,997,527 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 97/273, 875/997, 877/527?
Answer: LCM of Numerators as per given numbers 97/273, 875/997, 877/527 is
LCM of Numerators i.e. for 97,875,877 is 74435375
GCF of denominators i.e. for 273,997,527 is 1.
Thus, LCM of Fractions is 74435375.Finally, LCM of Fractions for 97/273, 875/997, 877/527 is 74435375.