Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/197, 31/779, 282/283 quickly i.e. 8742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/197, 31/779, 282/283 is 8742.
LCM(31/197, 31/779, 282/283) = 8742
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/197,31/779,282/283
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 31,31,282
Least Common Multiple of Numerators i.e. LCM of 31,31,282 is 8742.
GCF of Denominators means GCF of 197,779,283 as per the given fractions.
GCF of 197,779,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,31,282
31 | 31, 31, 282 |
1, 1, 282 |
∴ So the LCM of the given numbers is 31 x 1 x 1 x 282 = 8742
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 31,31,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,31,282) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(31,31,282) x common factors =1 x 31 = 31
LCM(31,31,282) = ( 31 × 31 × 282 ) / 31
LCM(31,31,282) = 271002 / 31
LCM(31,31,282) = 8742
Lets's calculate GCF of 197,779,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8742/1
Therefore the LCM of Fractions 31/197,31/779,282/283 is 8742
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 197,779,283 . The biggest common factor number is the GCF number.
So the greatest common factor 197,779,283 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 31/197, 31/779, 282/283?
Answer: LCM of Numerators as per given numbers 31/197, 31/779, 282/283 is
LCM of Numerators i.e. for 31,31,282 is 8742
GCF of denominators i.e. for 197,779,283 is 1.
Thus, LCM of Fractions is 8742.Finally, LCM of Fractions for 31/197, 31/779, 282/283 is 8742.