Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/91, 94/85, 35/14, 42/264 quickly i.e. 78960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/91, 94/85, 35/14, 42/264 is 78960.
LCM(80/91, 94/85, 35/14, 42/264) = 78960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/91,94/85,35/14,42/264
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 80,94,35,42
Least Common Multiple of Numerators i.e. LCM of 80,94,35,42 is 78960.
GCF of Denominators means GCF of 91,85,14,264 as per the given fractions.
GCF of 91,85,14,264 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,94,35,42
2 | 80, 94, 35, 42 |
5 | 40, 47, 35, 21 |
7 | 8, 47, 7, 21 |
8, 47, 1, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 8 x 47 x 1 x 3 = 78960
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 80,94,35,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,94,35,42) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(80,94,35,42) x common factors =1 x 140 = 140
LCM(80,94,35,42) = ( 80 × 94 × 35 × 42 ) / 140
LCM(80,94,35,42) = 11054400 / 140
LCM(80,94,35,42) = 78960
Lets's calculate GCF of 91,85,14,264
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78960/1
Therefore the LCM of Fractions 80/91,94/85,35/14,42/264 is 78960
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 91,85,14,264 . The biggest common factor number is the GCF number.
So the greatest common factor 91,85,14,264 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 80/91, 94/85, 35/14, 42/264?
Answer: LCM of Numerators as per given numbers 80/91, 94/85, 35/14, 42/264 is
LCM of Numerators i.e. for 80,94,35,42 is 78960
GCF of denominators i.e. for 91,85,14,264 is 1.
Thus, LCM of Fractions is 78960.Finally, LCM of Fractions for 80/91, 94/85, 35/14, 42/264 is 78960.