Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4745/234, 3047/5888 quickly i.e. 14458015/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4745/234, 3047/5888 is 14458015/2.
LCM(4745/234, 3047/5888) = 14458015/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4745/234,3047/5888
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 4745,3047
Least Common Multiple of Numerators i.e. LCM of 4745,3047 is 14458015.
GCF of Denominators means GCF of 234,5888 as per the given fractions.
GCF of 234,5888 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4745,3047
Given numbers has no common factors except 1. So, there LCM is their product i.e 14458015
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 4745,3047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4745,3047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4745,3047) x common factors =1 x 1 = 1
LCM(4745,3047) = ( 4745 × 3047 ) / 1
LCM(4745,3047) = 14458015 / 1
LCM(4745,3047) = 14458015
Lets's calculate GCF of 234,5888
2 | 234, 5888 |
117, 2944 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14458015/2
Therefore the LCM of Fractions 4745/234,3047/5888 is 14458015/2
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 5888
List of positive integer factors of 5888 that divides 5888 without a remainder.
1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888
Greatest Common Factor
We found the factors 234,5888 . The biggest common factor number is the GCF number.
So the greatest common factor 234,5888 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 4745/234, 3047/5888?
Answer: LCM of Numerators as per given numbers 4745/234, 3047/5888 is
LCM of Numerators i.e. for 4745,3047 is 14458015
GCF of denominators i.e. for 234,5888 is 2.
Thus, LCM of Fractions is 14458015/2.Finally, LCM of Fractions for 4745/234, 3047/5888 is 14458015/2.