Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/285, 19/156, 81/680 quickly i.e. 10773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/285, 19/156, 81/680 is 10773.
LCM(7/285, 19/156, 81/680) = 10773
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/285,19/156,81/680
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 7,19,81
Least Common Multiple of Numerators i.e. LCM of 7,19,81 is 10773.
GCF of Denominators means GCF of 285,156,680 as per the given fractions.
GCF of 285,156,680 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,19,81
Given numbers has no common factors except 1. So, there LCM is their product i.e 10773
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 7,19,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,19,81) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,19,81) x common factors =1 x 1 = 1
LCM(7,19,81) = ( 7 × 19 × 81 ) / 1
LCM(7,19,81) = 10773 / 1
LCM(7,19,81) = 10773
Lets's calculate GCF of 285,156,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10773/1
Therefore the LCM of Fractions 7/285,19/156,81/680 is 10773
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 285,156,680 . The biggest common factor number is the GCF number.
So the greatest common factor 285,156,680 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 7/285, 19/156, 81/680?
Answer: LCM of Numerators as per given numbers 7/285, 19/156, 81/680 is
LCM of Numerators i.e. for 7,19,81 is 10773
GCF of denominators i.e. for 285,156,680 is 1.
Thus, LCM of Fractions is 10773.Finally, LCM of Fractions for 7/285, 19/156, 81/680 is 10773.