Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 661/200, 7092/440 quickly i.e. 4687812/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 661/200, 7092/440 is 4687812/40.
LCM(661/200, 7092/440) = 4687812/40
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 661/200,7092/440
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 661,7092
Least Common Multiple of Numerators i.e. LCM of 661,7092 is 4687812.
GCF of Denominators means GCF of 200,440 as per the given fractions.
GCF of 200,440 is 40 as it is the largest common factor for these numbers.
Lets's calculate LCM of 661,7092
Given numbers has no common factors except 1. So, there LCM is their product i.e 4687812
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 661,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,7092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,7092) x common factors =1 x 1 = 1
LCM(661,7092) = ( 661 × 7092 ) / 1
LCM(661,7092) = 4687812 / 1
LCM(661,7092) = 4687812
Lets's calculate GCF of 200,440
2 | 200, 440 |
2 | 100, 220 |
2 | 50, 110 |
5 | 25, 55 |
5, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4687812/40
Therefore the LCM of Fractions 661/200,7092/440 is 4687812/40
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 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 200,440 . The biggest common factor number is the GCF number.
So the greatest common factor 200,440 is 40.
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 661/200, 7092/440?
Answer: LCM of Numerators as per given numbers 661/200, 7092/440 is
LCM of Numerators i.e. for 661,7092 is 4687812
GCF of denominators i.e. for 200,440 is 40.
Thus, LCM of Fractions is 4687812/40.Finally, LCM of Fractions for 661/200, 7092/440 is 4687812/40.