Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/55, 912/8324 quickly i.e. 684912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/55, 912/8324 is 684912.
LCM(751/55, 912/8324) = 684912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/55,912/8324
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 751,912
Least Common Multiple of Numerators i.e. LCM of 751,912 is 684912.
GCF of Denominators means GCF of 55,8324 as per the given fractions.
GCF of 55,8324 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,912
Given numbers has no common factors except 1. So, there LCM is their product i.e 684912
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 751,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,912) x common factors =1 x 1 = 1
LCM(751,912) = ( 751 × 912 ) / 1
LCM(751,912) = 684912 / 1
LCM(751,912) = 684912
Lets's calculate GCF of 55,8324
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684912/1
Therefore the LCM of Fractions 751/55,912/8324 is 684912
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 8324
List of positive integer factors of 8324 that divides 8324 without a remainder.
1,2,4,2081,4162,8324
Greatest Common Factor
We found the factors 55,8324 . The biggest common factor number is the GCF number.
So the greatest common factor 55,8324 is 1.
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 751/55, 912/8324?
Answer: LCM of Numerators as per given numbers 751/55, 912/8324 is
LCM of Numerators i.e. for 751,912 is 684912
GCF of denominators i.e. for 55,8324 is 1.
Thus, LCM of Fractions is 684912.Finally, LCM of Fractions for 751/55, 912/8324 is 684912.