Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 227/722, 8664/932 quickly i.e. 983364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 227/722, 8664/932 is 983364.
LCM(227/722, 8664/932) = 983364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 227/722,8664/932
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 227,8664
Least Common Multiple of Numerators i.e. LCM of 227,8664 is 1966728.
GCF of Denominators means GCF of 722,932 as per the given fractions.
GCF of 722,932 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 227,8664
Given numbers has no common factors except 1. So, there LCM is their product i.e 1966728
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 227,8664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,8664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,8664) x common factors =1 x 1 = 1
LCM(227,8664) = ( 227 × 8664 ) / 1
LCM(227,8664) = 1966728 / 1
LCM(227,8664) = 1966728
Lets's calculate GCF of 722,932
2 | 722, 932 |
361, 466 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1966728/2
Therefore the LCM of Fractions 227/722,8664/932 is 983364
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 722,932 . The biggest common factor number is the GCF number.
So the greatest common factor 722,932 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 227/722, 8664/932?
Answer: LCM of Numerators as per given numbers 227/722, 8664/932 is
LCM of Numerators i.e. for 227,8664 is 1966728
GCF of denominators i.e. for 722,932 is 2.
Thus, LCM of Fractions is 983364.Finally, LCM of Fractions for 227/722, 8664/932 is 983364.