Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 666/923, 688/662 quickly i.e. 229104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 666/923, 688/662 is 229104.
LCM(666/923, 688/662) = 229104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 666/923,688/662
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 666,688
Least Common Multiple of Numerators i.e. LCM of 666,688 is 229104.
GCF of Denominators means GCF of 923,662 as per the given fractions.
GCF of 923,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 666,688
2 | 666, 688 |
333, 344 |
∴ So the LCM of the given numbers is 2 x 333 x 344 = 229104
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 666,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(666,688) x common factors =2 x 1 = 2
LCM(666,688) = ( 666 × 688 ) / 2
LCM(666,688) = 458208 / 2
LCM(666,688) = 229104
Lets's calculate GCF of 923,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229104/1
Therefore the LCM of Fractions 666/923,688/662 is 229104
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 923,662 . The biggest common factor number is the GCF number.
So the greatest common factor 923,662 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 666/923, 688/662?
Answer: LCM of Numerators as per given numbers 666/923, 688/662 is
LCM of Numerators i.e. for 666,688 is 229104
GCF of denominators i.e. for 923,662 is 1.
Thus, LCM of Fractions is 229104.Finally, LCM of Fractions for 666/923, 688/662 is 229104.