Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/200, 140/494, 903/307 quickly i.e. 668220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/200, 140/494, 903/307 is 668220.
LCM(777/200, 140/494, 903/307) = 668220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/200,140/494,903/307
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 777,140,903
Least Common Multiple of Numerators i.e. LCM of 777,140,903 is 668220.
GCF of Denominators means GCF of 200,494,307 as per the given fractions.
GCF of 200,494,307 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,140,903
3 | 777, 140, 903 |
7 | 259, 140, 301 |
37, 20, 43 |
∴ So the LCM of the given numbers is 3 x 7 x 37 x 20 x 43 = 668220
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 777,140,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,140,903) = 7
common factors(in case of two or more numbers have common factors) = 21
GCF(777,140,903) x common factors =7 x 21 = 147
LCM(777,140,903) = ( 777 × 140 × 903 ) / 147
LCM(777,140,903) = 98228340 / 147
LCM(777,140,903) = 668220
Lets's calculate GCF of 200,494,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668220/1
Therefore the LCM of Fractions 777/200,140/494,903/307 is 668220
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Greatest Common Factor
We found the factors 200,494,307 . The biggest common factor number is the GCF number.
So the greatest common factor 200,494,307 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 777/200, 140/494, 903/307?
Answer: LCM of Numerators as per given numbers 777/200, 140/494, 903/307 is
LCM of Numerators i.e. for 777,140,903 is 668220
GCF of denominators i.e. for 200,494,307 is 1.
Thus, LCM of Fractions is 668220.Finally, LCM of Fractions for 777/200, 140/494, 903/307 is 668220.