Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/32, 6848/754 quickly i.e. 1126496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/32, 6848/754 is 1126496.
LCM(329/32, 6848/754) = 1126496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/32,6848/754
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 329,6848
Least Common Multiple of Numerators i.e. LCM of 329,6848 is 2252992.
GCF of Denominators means GCF of 32,754 as per the given fractions.
GCF of 32,754 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,6848
Given numbers has no common factors except 1. So, there LCM is their product i.e 2252992
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 329,6848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,6848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,6848) x common factors =1 x 1 = 1
LCM(329,6848) = ( 329 × 6848 ) / 1
LCM(329,6848) = 2252992 / 1
LCM(329,6848) = 2252992
Lets's calculate GCF of 32,754
2 | 32, 754 |
16, 377 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2252992/2
Therefore the LCM of Fractions 329/32,6848/754 is 1126496
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 32,754 . The biggest common factor number is the GCF number.
So the greatest common factor 32,754 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 329/32, 6848/754?
Answer: LCM of Numerators as per given numbers 329/32, 6848/754 is
LCM of Numerators i.e. for 329,6848 is 2252992
GCF of denominators i.e. for 32,754 is 2.
Thus, LCM of Fractions is 1126496.Finally, LCM of Fractions for 329/32, 6848/754 is 1126496.