Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/672, 85/118 quickly i.e. 4080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/672, 85/118 is 4080.
LCM(96/672, 85/118) = 4080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/672,85/118
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 96,85
Least Common Multiple of Numerators i.e. LCM of 96,85 is 8160.
GCF of Denominators means GCF of 672,118 as per the given fractions.
GCF of 672,118 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 8160
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 96,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,85) x common factors =1 x 1 = 1
LCM(96,85) = ( 96 × 85 ) / 1
LCM(96,85) = 8160 / 1
LCM(96,85) = 8160
Lets's calculate GCF of 672,118
2 | 672, 118 |
336, 59 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8160/2
Therefore the LCM of Fractions 96/672,85/118 is 4080
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 672,118 . The biggest common factor number is the GCF number.
So the greatest common factor 672,118 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 96/672, 85/118?
Answer: LCM of Numerators as per given numbers 96/672, 85/118 is
LCM of Numerators i.e. for 96,85 is 8160
GCF of denominators i.e. for 672,118 is 2.
Thus, LCM of Fractions is 4080.Finally, LCM of Fractions for 96/672, 85/118 is 4080.