Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/95, 240/23, 514/292 quickly i.e. 49158960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/95, 240/23, 514/292 is 49158960.
LCM(797/95, 240/23, 514/292) = 49158960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/95,240/23,514/292
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 797,240,514
Least Common Multiple of Numerators i.e. LCM of 797,240,514 is 49158960.
GCF of Denominators means GCF of 95,23,292 as per the given fractions.
GCF of 95,23,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,240,514
2 | 797, 240, 514 |
797, 120, 257 |
∴ So the LCM of the given numbers is 2 x 797 x 120 x 257 = 49158960
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 797,240,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,240,514) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(797,240,514) x common factors =1 x 2 = 2
LCM(797,240,514) = ( 797 × 240 × 514 ) / 2
LCM(797,240,514) = 98317920 / 2
LCM(797,240,514) = 49158960
Lets's calculate GCF of 95,23,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49158960/1
Therefore the LCM of Fractions 797/95,240/23,514/292 is 49158960
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 95,23,292 . The biggest common factor number is the GCF number.
So the greatest common factor 95,23,292 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 797/95, 240/23, 514/292?
Answer: LCM of Numerators as per given numbers 797/95, 240/23, 514/292 is
LCM of Numerators i.e. for 797,240,514 is 49158960
GCF of denominators i.e. for 95,23,292 is 1.
Thus, LCM of Fractions is 49158960.Finally, LCM of Fractions for 797/95, 240/23, 514/292 is 49158960.