Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/36, 494/2270 quickly i.e. 191919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/36, 494/2270 is 191919.
LCM(777/36, 494/2270) = 191919
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/36,494/2270
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 777,494
Least Common Multiple of Numerators i.e. LCM of 777,494 is 383838.
GCF of Denominators means GCF of 36,2270 as per the given fractions.
GCF of 36,2270 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,494
Given numbers has no common factors except 1. So, there LCM is their product i.e 383838
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 777,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,494) x common factors =1 x 1 = 1
LCM(777,494) = ( 777 × 494 ) / 1
LCM(777,494) = 383838 / 1
LCM(777,494) = 383838
Lets's calculate GCF of 36,2270
2 | 36, 2270 |
18, 1135 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383838/2
Therefore the LCM of Fractions 777/36,494/2270 is 191919
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 2270
List of positive integer factors of 2270 that divides 2270 without a remainder.
1,2,5,10,227,454,1135,2270
Greatest Common Factor
We found the factors 36,2270 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2270 is 2.
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 777/36, 494/2270?
Answer: LCM of Numerators as per given numbers 777/36, 494/2270 is
LCM of Numerators i.e. for 777,494 is 383838
GCF of denominators i.e. for 36,2270 is 2.
Thus, LCM of Fractions is 191919.Finally, LCM of Fractions for 777/36, 494/2270 is 191919.