Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/83, 209/37, 391/696 quickly i.e. 7436429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/83, 209/37, 391/696 is 7436429.
LCM(91/83, 209/37, 391/696) = 7436429
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/83,209/37,391/696
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 91,209,391
Least Common Multiple of Numerators i.e. LCM of 91,209,391 is 7436429.
GCF of Denominators means GCF of 83,37,696 as per the given fractions.
GCF of 83,37,696 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,209,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 7436429
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 91,209,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,209,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,209,391) x common factors =1 x 1 = 1
LCM(91,209,391) = ( 91 × 209 × 391 ) / 1
LCM(91,209,391) = 7436429 / 1
LCM(91,209,391) = 7436429
Lets's calculate GCF of 83,37,696
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7436429/1
Therefore the LCM of Fractions 91/83,209/37,391/696 is 7436429
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 83,37,696 . The biggest common factor number is the GCF number.
So the greatest common factor 83,37,696 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 91/83, 209/37, 391/696?
Answer: LCM of Numerators as per given numbers 91/83, 209/37, 391/696 is
LCM of Numerators i.e. for 91,209,391 is 7436429
GCF of denominators i.e. for 83,37,696 is 1.
Thus, LCM of Fractions is 7436429.Finally, LCM of Fractions for 91/83, 209/37, 391/696 is 7436429.