Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 902/503, 2092/4190 quickly i.e. 943492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 902/503, 2092/4190 is 943492.
LCM(902/503, 2092/4190) = 943492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 902/503,2092/4190
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 902,2092
Least Common Multiple of Numerators i.e. LCM of 902,2092 is 943492.
GCF of Denominators means GCF of 503,4190 as per the given fractions.
GCF of 503,4190 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 902,2092
2 | 902, 2092 |
451, 1046 |
∴ So the LCM of the given numbers is 2 x 451 x 1046 = 943492
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 902,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,2092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,2092) x common factors =2 x 1 = 2
LCM(902,2092) = ( 902 × 2092 ) / 2
LCM(902,2092) = 1886984 / 2
LCM(902,2092) = 943492
Lets's calculate GCF of 503,4190
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943492/1
Therefore the LCM of Fractions 902/503,2092/4190 is 943492
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 4190
List of positive integer factors of 4190 that divides 4190 without a remainder.
1,2,5,10,419,838,2095,4190
Greatest Common Factor
We found the factors 503,4190 . The biggest common factor number is the GCF number.
So the greatest common factor 503,4190 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 902/503, 2092/4190?
Answer: LCM of Numerators as per given numbers 902/503, 2092/4190 is
LCM of Numerators i.e. for 902,2092 is 943492
GCF of denominators i.e. for 503,4190 is 1.
Thus, LCM of Fractions is 943492.Finally, LCM of Fractions for 902/503, 2092/4190 is 943492.