Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 332/118, 3823/9382 quickly i.e. 634618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 332/118, 3823/9382 is 634618.
LCM(332/118, 3823/9382) = 634618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 332/118,3823/9382
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 332,3823
Least Common Multiple of Numerators i.e. LCM of 332,3823 is 1269236.
GCF of Denominators means GCF of 118,9382 as per the given fractions.
GCF of 118,9382 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 332,3823
Given numbers has no common factors except 1. So, there LCM is their product i.e 1269236
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 332,3823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,3823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,3823) x common factors =1 x 1 = 1
LCM(332,3823) = ( 332 × 3823 ) / 1
LCM(332,3823) = 1269236 / 1
LCM(332,3823) = 1269236
Lets's calculate GCF of 118,9382
2 | 118, 9382 |
59, 4691 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1269236/2
Therefore the LCM of Fractions 332/118,3823/9382 is 634618
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 9382
List of positive integer factors of 9382 that divides 9382 without a remainder.
1,2,4691,9382
Greatest Common Factor
We found the factors 118,9382 . The biggest common factor number is the GCF number.
So the greatest common factor 118,9382 is 2.
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 332/118, 3823/9382?
Answer: LCM of Numerators as per given numbers 332/118, 3823/9382 is
LCM of Numerators i.e. for 332,3823 is 1269236
GCF of denominators i.e. for 118,9382 is 2.
Thus, LCM of Fractions is 634618.Finally, LCM of Fractions for 332/118, 3823/9382 is 634618.