Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1952/34, 3887/348 quickly i.e. 3793712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1952/34, 3887/348 is 3793712.
LCM(1952/34, 3887/348) = 3793712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1952/34,3887/348
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 1952,3887
Least Common Multiple of Numerators i.e. LCM of 1952,3887 is 7587424.
GCF of Denominators means GCF of 34,348 as per the given fractions.
GCF of 34,348 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1952,3887
Given numbers has no common factors except 1. So, there LCM is their product i.e 7587424
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 1952,3887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1952,3887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1952,3887) x common factors =1 x 1 = 1
LCM(1952,3887) = ( 1952 × 3887 ) / 1
LCM(1952,3887) = 7587424 / 1
LCM(1952,3887) = 7587424
Lets's calculate GCF of 34,348
2 | 34, 348 |
17, 174 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7587424/2
Therefore the LCM of Fractions 1952/34,3887/348 is 3793712
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 34,348 . The biggest common factor number is the GCF number.
So the greatest common factor 34,348 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 1952/34, 3887/348?
Answer: LCM of Numerators as per given numbers 1952/34, 3887/348 is
LCM of Numerators i.e. for 1952,3887 is 7587424
GCF of denominators i.e. for 34,348 is 2.
Thus, LCM of Fractions is 3793712.Finally, LCM of Fractions for 1952/34, 3887/348 is 3793712.