Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 611/10, 773/39, 320/497 quickly i.e. 151136960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 611/10, 773/39, 320/497 is 151136960.
LCM(611/10, 773/39, 320/497) = 151136960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 611/10,773/39,320/497
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 611,773,320
Least Common Multiple of Numerators i.e. LCM of 611,773,320 is 151136960.
GCF of Denominators means GCF of 10,39,497 as per the given fractions.
GCF of 10,39,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 611,773,320
Given numbers has no common factors except 1. So, there LCM is their product i.e 151136960
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 611,773,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,773,320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,773,320) x common factors =1 x 1 = 1
LCM(611,773,320) = ( 611 × 773 × 320 ) / 1
LCM(611,773,320) = 151136960 / 1
LCM(611,773,320) = 151136960
Lets's calculate GCF of 10,39,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151136960/1
Therefore the LCM of Fractions 611/10,773/39,320/497 is 151136960
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 10,39,497 . The biggest common factor number is the GCF number.
So the greatest common factor 10,39,497 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 611/10, 773/39, 320/497?
Answer: LCM of Numerators as per given numbers 611/10, 773/39, 320/497 is
LCM of Numerators i.e. for 611,773,320 is 151136960
GCF of denominators i.e. for 10,39,497 is 1.
Thus, LCM of Fractions is 151136960.Finally, LCM of Fractions for 611/10, 773/39, 320/497 is 151136960.