Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/296, 8251/3324 quickly i.e. 453805/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/296, 8251/3324 is 453805/4.
LCM(55/296, 8251/3324) = 453805/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/296,8251/3324
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 55,8251
Least Common Multiple of Numerators i.e. LCM of 55,8251 is 453805.
GCF of Denominators means GCF of 296,3324 as per the given fractions.
GCF of 296,3324 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,8251
Given numbers has no common factors except 1. So, there LCM is their product i.e 453805
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 55,8251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,8251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,8251) x common factors =1 x 1 = 1
LCM(55,8251) = ( 55 × 8251 ) / 1
LCM(55,8251) = 453805 / 1
LCM(55,8251) = 453805
Lets's calculate GCF of 296,3324
2 | 296, 3324 |
2 | 148, 1662 |
74, 831 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453805/4
Therefore the LCM of Fractions 55/296,8251/3324 is 453805/4
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 3324
List of positive integer factors of 3324 that divides 3324 without a remainder.
1,2,3,4,6,12,277,554,831,1108,1662,3324
Greatest Common Factor
We found the factors 296,3324 . The biggest common factor number is the GCF number.
So the greatest common factor 296,3324 is 4.
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 55/296, 8251/3324?
Answer: LCM of Numerators as per given numbers 55/296, 8251/3324 is
LCM of Numerators i.e. for 55,8251 is 453805
GCF of denominators i.e. for 296,3324 is 4.
Thus, LCM of Fractions is 453805/4.Finally, LCM of Fractions for 55/296, 8251/3324 is 453805/4.