Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 763/35, 202/3084 quickly i.e. 154126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 763/35, 202/3084 is 154126.
LCM(763/35, 202/3084) = 154126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 763/35,202/3084
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 763,202
Least Common Multiple of Numerators i.e. LCM of 763,202 is 154126.
GCF of Denominators means GCF of 35,3084 as per the given fractions.
GCF of 35,3084 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 763,202
Given numbers has no common factors except 1. So, there LCM is their product i.e 154126
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 763,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,202) x common factors =1 x 1 = 1
LCM(763,202) = ( 763 × 202 ) / 1
LCM(763,202) = 154126 / 1
LCM(763,202) = 154126
Lets's calculate GCF of 35,3084
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154126/1
Therefore the LCM of Fractions 763/35,202/3084 is 154126
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 3084
List of positive integer factors of 3084 that divides 3084 without a remainder.
1,2,3,4,6,12,257,514,771,1028,1542,3084
Greatest Common Factor
We found the factors 35,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 35,3084 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 763/35, 202/3084?
Answer: LCM of Numerators as per given numbers 763/35, 202/3084 is
LCM of Numerators i.e. for 763,202 is 154126
GCF of denominators i.e. for 35,3084 is 1.
Thus, LCM of Fractions is 154126.Finally, LCM of Fractions for 763/35, 202/3084 is 154126.