Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 137/140, 771/683, 913/933 quickly i.e. 96437451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 137/140, 771/683, 913/933 is 96437451.
LCM(137/140, 771/683, 913/933) = 96437451
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 137/140,771/683,913/933
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 137,771,913
Least Common Multiple of Numerators i.e. LCM of 137,771,913 is 96437451.
GCF of Denominators means GCF of 140,683,933 as per the given fractions.
GCF of 140,683,933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 137,771,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 96437451
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 137,771,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,771,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,771,913) x common factors =1 x 1 = 1
LCM(137,771,913) = ( 137 × 771 × 913 ) / 1
LCM(137,771,913) = 96437451 / 1
LCM(137,771,913) = 96437451
Lets's calculate GCF of 140,683,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96437451/1
Therefore the LCM of Fractions 137/140,771/683,913/933 is 96437451
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 140,683,933 . The biggest common factor number is the GCF number.
So the greatest common factor 140,683,933 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 137/140, 771/683, 913/933?
Answer: LCM of Numerators as per given numbers 137/140, 771/683, 913/933 is
LCM of Numerators i.e. for 137,771,913 is 96437451
GCF of denominators i.e. for 140,683,933 is 1.
Thus, LCM of Fractions is 96437451.Finally, LCM of Fractions for 137/140, 771/683, 913/933 is 96437451.