Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/91, 307/42, 742/778 quickly i.e. 16173374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/91, 307/42, 742/778 is 16173374.
LCM(71/91, 307/42, 742/778) = 16173374
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/91,307/42,742/778
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 71,307,742
Least Common Multiple of Numerators i.e. LCM of 71,307,742 is 16173374.
GCF of Denominators means GCF of 91,42,778 as per the given fractions.
GCF of 91,42,778 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,307,742
Given numbers has no common factors except 1. So, there LCM is their product i.e 16173374
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 71,307,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,307,742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,307,742) x common factors =1 x 1 = 1
LCM(71,307,742) = ( 71 × 307 × 742 ) / 1
LCM(71,307,742) = 16173374 / 1
LCM(71,307,742) = 16173374
Lets's calculate GCF of 91,42,778
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16173374/1
Therefore the LCM of Fractions 71/91,307/42,742/778 is 16173374
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 91,42,778 . The biggest common factor number is the GCF number.
So the greatest common factor 91,42,778 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 71/91, 307/42, 742/778?
Answer: LCM of Numerators as per given numbers 71/91, 307/42, 742/778 is
LCM of Numerators i.e. for 71,307,742 is 16173374
GCF of denominators i.e. for 91,42,778 is 1.
Thus, LCM of Fractions is 16173374.Finally, LCM of Fractions for 71/91, 307/42, 742/778 is 16173374.