Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/56, 78/46, 497/797 quickly i.e. 736554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/56, 78/46, 497/797 is 736554.
LCM(19/56, 78/46, 497/797) = 736554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/56,78/46,497/797
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 19,78,497
Least Common Multiple of Numerators i.e. LCM of 19,78,497 is 736554.
GCF of Denominators means GCF of 56,46,797 as per the given fractions.
GCF of 56,46,797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,78,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 736554
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 19,78,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,78,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,78,497) x common factors =1 x 1 = 1
LCM(19,78,497) = ( 19 × 78 × 497 ) / 1
LCM(19,78,497) = 736554 / 1
LCM(19,78,497) = 736554
Lets's calculate GCF of 56,46,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736554/1
Therefore the LCM of Fractions 19/56,78/46,497/797 is 736554
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 56,46,797 . The biggest common factor number is the GCF number.
So the greatest common factor 56,46,797 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 19/56, 78/46, 497/797?
Answer: LCM of Numerators as per given numbers 19/56, 78/46, 497/797 is
LCM of Numerators i.e. for 19,78,497 is 736554
GCF of denominators i.e. for 56,46,797 is 1.
Thus, LCM of Fractions is 736554.Finally, LCM of Fractions for 19/56, 78/46, 497/797 is 736554.