Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/49, 68/76, 60/856 quickly i.e. 68340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/49, 68/76, 60/856 is 68340.
LCM(67/49, 68/76, 60/856) = 68340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/49,68/76,60/856
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 67,68,60
Least Common Multiple of Numerators i.e. LCM of 67,68,60 is 68340.
GCF of Denominators means GCF of 49,76,856 as per the given fractions.
GCF of 49,76,856 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,68,60
2 | 67, 68, 60 |
2 | 67, 34, 30 |
67, 17, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 17 x 15 = 68340
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 67,68,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,68,60) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(67,68,60) x common factors =1 x 4 = 4
LCM(67,68,60) = ( 67 × 68 × 60 ) / 4
LCM(67,68,60) = 273360 / 4
LCM(67,68,60) = 68340
Lets's calculate GCF of 49,76,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68340/1
Therefore the LCM of Fractions 67/49,68/76,60/856 is 68340
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 49,76,856 . The biggest common factor number is the GCF number.
So the greatest common factor 49,76,856 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 67/49, 68/76, 60/856?
Answer: LCM of Numerators as per given numbers 67/49, 68/76, 60/856 is
LCM of Numerators i.e. for 67,68,60 is 68340
GCF of denominators i.e. for 49,76,856 is 1.
Thus, LCM of Fractions is 68340.Finally, LCM of Fractions for 67/49, 68/76, 60/856 is 68340.