Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/919, 885/269, 532/722 quickly i.e. 4237380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/919, 885/269, 532/722 is 4237380.
LCM(54/919, 885/269, 532/722) = 4237380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/919,885/269,532/722
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 54,885,532
Least Common Multiple of Numerators i.e. LCM of 54,885,532 is 4237380.
GCF of Denominators means GCF of 919,269,722 as per the given fractions.
GCF of 919,269,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,885,532
2 | 54, 885, 532 |
3 | 27, 885, 266 |
9, 295, 266 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 295 x 266 = 4237380
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 54,885,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,885,532) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(54,885,532) x common factors =1 x 6 = 6
LCM(54,885,532) = ( 54 × 885 × 532 ) / 6
LCM(54,885,532) = 25424280 / 6
LCM(54,885,532) = 4237380
Lets's calculate GCF of 919,269,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4237380/1
Therefore the LCM of Fractions 54/919,885/269,532/722 is 4237380
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 919,269,722 . The biggest common factor number is the GCF number.
So the greatest common factor 919,269,722 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 54/919, 885/269, 532/722?
Answer: LCM of Numerators as per given numbers 54/919, 885/269, 532/722 is
LCM of Numerators i.e. for 54,885,532 is 4237380
GCF of denominators i.e. for 919,269,722 is 1.
Thus, LCM of Fractions is 4237380.Finally, LCM of Fractions for 54/919, 885/269, 532/722 is 4237380.