Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 788/22, 574/2439 quickly i.e. 226156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 788/22, 574/2439 is 226156.
LCM(788/22, 574/2439) = 226156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 788/22,574/2439
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 788,574
Least Common Multiple of Numerators i.e. LCM of 788,574 is 226156.
GCF of Denominators means GCF of 22,2439 as per the given fractions.
GCF of 22,2439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 788,574
2 | 788, 574 |
394, 287 |
∴ So the LCM of the given numbers is 2 x 394 x 287 = 226156
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 788,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,574) x common factors =2 x 1 = 2
LCM(788,574) = ( 788 × 574 ) / 2
LCM(788,574) = 452312 / 2
LCM(788,574) = 226156
Lets's calculate GCF of 22,2439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226156/1
Therefore the LCM of Fractions 788/22,574/2439 is 226156
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 2439
List of positive integer factors of 2439 that divides 2439 without a remainder.
1,3,9,271,813,2439
Greatest Common Factor
We found the factors 22,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 22,2439 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 788/22, 574/2439?
Answer: LCM of Numerators as per given numbers 788/22, 574/2439 is
LCM of Numerators i.e. for 788,574 is 226156
GCF of denominators i.e. for 22,2439 is 1.
Thus, LCM of Fractions is 226156.Finally, LCM of Fractions for 788/22, 574/2439 is 226156.