Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/939, 943/178, 692/616 quickly i.e. 46331476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/939, 943/178, 692/616 is 46331476.
LCM(71/939, 943/178, 692/616) = 46331476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/939,943/178,692/616
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 71,943,692
Least Common Multiple of Numerators i.e. LCM of 71,943,692 is 46331476.
GCF of Denominators means GCF of 939,178,616 as per the given fractions.
GCF of 939,178,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,943,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 46331476
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 71,943,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,943,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,943,692) x common factors =1 x 1 = 1
LCM(71,943,692) = ( 71 × 943 × 692 ) / 1
LCM(71,943,692) = 46331476 / 1
LCM(71,943,692) = 46331476
Lets's calculate GCF of 939,178,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46331476/1
Therefore the LCM of Fractions 71/939,943/178,692/616 is 46331476
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 939,178,616 . The biggest common factor number is the GCF number.
So the greatest common factor 939,178,616 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 71/939, 943/178, 692/616?
Answer: LCM of Numerators as per given numbers 71/939, 943/178, 692/616 is
LCM of Numerators i.e. for 71,943,692 is 46331476
GCF of denominators i.e. for 939,178,616 is 1.
Thus, LCM of Fractions is 46331476.Finally, LCM of Fractions for 71/939, 943/178, 692/616 is 46331476.