Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1531/697, 3880/273 quickly i.e. 5940280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1531/697, 3880/273 is 5940280.
LCM(1531/697, 3880/273) = 5940280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1531/697,3880/273
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 1531,3880
Least Common Multiple of Numerators i.e. LCM of 1531,3880 is 5940280.
GCF of Denominators means GCF of 697,273 as per the given fractions.
GCF of 697,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1531,3880
Given numbers has no common factors except 1. So, there LCM is their product i.e 5940280
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 1531,3880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1531,3880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1531,3880) x common factors =1 x 1 = 1
LCM(1531,3880) = ( 1531 × 3880 ) / 1
LCM(1531,3880) = 5940280 / 1
LCM(1531,3880) = 5940280
Lets's calculate GCF of 697,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5940280/1
Therefore the LCM of Fractions 1531/697,3880/273 is 5940280
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 697,273 . The biggest common factor number is the GCF number.
So the greatest common factor 697,273 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 1531/697, 3880/273?
Answer: LCM of Numerators as per given numbers 1531/697, 3880/273 is
LCM of Numerators i.e. for 1531,3880 is 5940280
GCF of denominators i.e. for 697,273 is 1.
Thus, LCM of Fractions is 5940280.Finally, LCM of Fractions for 1531/697, 3880/273 is 5940280.