Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 711/31, 265/48, 324/694 quickly i.e. 6782940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 711/31, 265/48, 324/694 is 6782940.
LCM(711/31, 265/48, 324/694) = 6782940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 711/31,265/48,324/694
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 711,265,324
Least Common Multiple of Numerators i.e. LCM of 711,265,324 is 6782940.
GCF of Denominators means GCF of 31,48,694 as per the given fractions.
GCF of 31,48,694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 711,265,324
3 | 711, 265, 324 |
3 | 237, 265, 108 |
79, 265, 36 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 265 x 36 = 6782940
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 711,265,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,265,324) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(711,265,324) x common factors =1 x 9 = 9
LCM(711,265,324) = ( 711 × 265 × 324 ) / 9
LCM(711,265,324) = 61046460 / 9
LCM(711,265,324) = 6782940
Lets's calculate GCF of 31,48,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6782940/1
Therefore the LCM of Fractions 711/31,265/48,324/694 is 6782940
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 31,48,694 . The biggest common factor number is the GCF number.
So the greatest common factor 31,48,694 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 711/31, 265/48, 324/694?
Answer: LCM of Numerators as per given numbers 711/31, 265/48, 324/694 is
LCM of Numerators i.e. for 711,265,324 is 6782940
GCF of denominators i.e. for 31,48,694 is 1.
Thus, LCM of Fractions is 6782940.Finally, LCM of Fractions for 711/31, 265/48, 324/694 is 6782940.