Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/595, 91/364 quickly i.e. 1222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/595, 91/364 is 1222.
LCM(94/595, 91/364) = 1222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/595,91/364
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 94,91
Least Common Multiple of Numerators i.e. LCM of 94,91 is 8554.
GCF of Denominators means GCF of 595,364 as per the given fractions.
GCF of 595,364 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,91
Given numbers has no common factors except 1. So, there LCM is their product i.e 8554
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 94,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,91) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,91) x common factors =1 x 1 = 1
LCM(94,91) = ( 94 × 91 ) / 1
LCM(94,91) = 8554 / 1
LCM(94,91) = 8554
Lets's calculate GCF of 595,364
7 | 595, 364 |
85, 52 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8554/7
Therefore the LCM of Fractions 94/595,91/364 is 1222
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 595,364 . The biggest common factor number is the GCF number.
So the greatest common factor 595,364 is 7.
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 94/595, 91/364?
Answer: LCM of Numerators as per given numbers 94/595, 91/364 is
LCM of Numerators i.e. for 94,91 is 8554
GCF of denominators i.e. for 595,364 is 7.
Thus, LCM of Fractions is 1222.Finally, LCM of Fractions for 94/595, 91/364 is 1222.