Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/685, 95/492, 68/232 quickly i.e. 19380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/685, 95/492, 68/232 is 19380.
LCM(6/685, 95/492, 68/232) = 19380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/685,95/492,68/232
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 6,95,68
Least Common Multiple of Numerators i.e. LCM of 6,95,68 is 19380.
GCF of Denominators means GCF of 685,492,232 as per the given fractions.
GCF of 685,492,232 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,95,68
2 | 6, 95, 68 |
3, 95, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 95 x 34 = 19380
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 6,95,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,95,68) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(6,95,68) x common factors =1 x 2 = 2
LCM(6,95,68) = ( 6 × 95 × 68 ) / 2
LCM(6,95,68) = 38760 / 2
LCM(6,95,68) = 19380
Lets's calculate GCF of 685,492,232
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19380/1
Therefore the LCM of Fractions 6/685,95/492,68/232 is 19380
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 685,492,232 . The biggest common factor number is the GCF number.
So the greatest common factor 685,492,232 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 6/685, 95/492, 68/232?
Answer: LCM of Numerators as per given numbers 6/685, 95/492, 68/232 is
LCM of Numerators i.e. for 6,95,68 is 19380
GCF of denominators i.e. for 685,492,232 is 1.
Thus, LCM of Fractions is 19380.Finally, LCM of Fractions for 6/685, 95/492, 68/232 is 19380.