Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/108, 4322/4148 quickly i.e. 289574/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/108, 4322/4148 is 289574/4.
LCM(67/108, 4322/4148) = 289574/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/108,4322/4148
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 67,4322
Least Common Multiple of Numerators i.e. LCM of 67,4322 is 289574.
GCF of Denominators means GCF of 108,4148 as per the given fractions.
GCF of 108,4148 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,4322
Given numbers has no common factors except 1. So, there LCM is their product i.e 289574
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 67,4322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,4322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,4322) x common factors =1 x 1 = 1
LCM(67,4322) = ( 67 × 4322 ) / 1
LCM(67,4322) = 289574 / 1
LCM(67,4322) = 289574
Lets's calculate GCF of 108,4148
2 | 108, 4148 |
2 | 54, 2074 |
27, 1037 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289574/4
Therefore the LCM of Fractions 67/108,4322/4148 is 289574/4
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 4148
List of positive integer factors of 4148 that divides 4148 without a remainder.
1,2,4,17,34,61,68,122,244,1037,2074,4148
Greatest Common Factor
We found the factors 108,4148 . The biggest common factor number is the GCF number.
So the greatest common factor 108,4148 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 67/108, 4322/4148?
Answer: LCM of Numerators as per given numbers 67/108, 4322/4148 is
LCM of Numerators i.e. for 67,4322 is 289574
GCF of denominators i.e. for 108,4148 is 4.
Thus, LCM of Fractions is 289574/4.Finally, LCM of Fractions for 67/108, 4322/4148 is 289574/4.