Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 760/39, 551/52, 241/292 quickly i.e. 5311640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 760/39, 551/52, 241/292 is 5311640.
LCM(760/39, 551/52, 241/292) = 5311640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 760/39,551/52,241/292
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 760,551,241
Least Common Multiple of Numerators i.e. LCM of 760,551,241 is 5311640.
GCF of Denominators means GCF of 39,52,292 as per the given fractions.
GCF of 39,52,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 760,551,241
19 | 760, 551, 241 |
40, 29, 241 |
∴ So the LCM of the given numbers is 19 x 40 x 29 x 241 = 5311640
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 760,551,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,551,241) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(760,551,241) x common factors =1 x 19 = 19
LCM(760,551,241) = ( 760 × 551 × 241 ) / 19
LCM(760,551,241) = 100921160 / 19
LCM(760,551,241) = 5311640
Lets's calculate GCF of 39,52,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5311640/1
Therefore the LCM of Fractions 760/39,551/52,241/292 is 5311640
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
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 39,52,292 . The biggest common factor number is the GCF number.
So the greatest common factor 39,52,292 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 760/39, 551/52, 241/292?
Answer: LCM of Numerators as per given numbers 760/39, 551/52, 241/292 is
LCM of Numerators i.e. for 760,551,241 is 5311640
GCF of denominators i.e. for 39,52,292 is 1.
Thus, LCM of Fractions is 5311640.Finally, LCM of Fractions for 760/39, 551/52, 241/292 is 5311640.