Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/750, 6592/4971 quickly i.e. 112064/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/750, 6592/4971 is 112064/3.
LCM(34/750, 6592/4971) = 112064/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/750,6592/4971
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 34,6592
Least Common Multiple of Numerators i.e. LCM of 34,6592 is 112064.
GCF of Denominators means GCF of 750,4971 as per the given fractions.
GCF of 750,4971 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,6592
2 | 34, 6592 |
17, 3296 |
∴ So the LCM of the given numbers is 2 x 17 x 3296 = 112064
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 34,6592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,6592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,6592) x common factors =2 x 1 = 2
LCM(34,6592) = ( 34 × 6592 ) / 2
LCM(34,6592) = 224128 / 2
LCM(34,6592) = 112064
Lets's calculate GCF of 750,4971
3 | 750, 4971 |
250, 1657 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112064/3
Therefore the LCM of Fractions 34/750,6592/4971 is 112064/3
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1,3,1657,4971
Greatest Common Factor
We found the factors 750,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 750,4971 is 3.
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 34/750, 6592/4971?
Answer: LCM of Numerators as per given numbers 34/750, 6592/4971 is
LCM of Numerators i.e. for 34,6592 is 112064
GCF of denominators i.e. for 750,4971 is 3.
Thus, LCM of Fractions is 112064/3.Finally, LCM of Fractions for 34/750, 6592/4971 is 112064/3.