Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 942/773, 1092/200 quickly i.e. 171444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 942/773, 1092/200 is 171444.
LCM(942/773, 1092/200) = 171444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 942/773,1092/200
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 942,1092
Least Common Multiple of Numerators i.e. LCM of 942,1092 is 171444.
GCF of Denominators means GCF of 773,200 as per the given fractions.
GCF of 773,200 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 942,1092
2 | 942, 1092 |
3 | 471, 546 |
157, 182 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 182 = 171444
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 942,1092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,1092) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,1092) x common factors =6 x 1 = 6
LCM(942,1092) = ( 942 × 1092 ) / 6
LCM(942,1092) = 1028664 / 6
LCM(942,1092) = 171444
Lets's calculate GCF of 773,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171444/1
Therefore the LCM of Fractions 942/773,1092/200 is 171444
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
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
Greatest Common Factor
We found the factors 773,200 . The biggest common factor number is the GCF number.
So the greatest common factor 773,200 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 942/773, 1092/200?
Answer: LCM of Numerators as per given numbers 942/773, 1092/200 is
LCM of Numerators i.e. for 942,1092 is 171444
GCF of denominators i.e. for 773,200 is 1.
Thus, LCM of Fractions is 171444.Finally, LCM of Fractions for 942/773, 1092/200 is 171444.