Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 617/83, 661/19, 677/277 quickly i.e. 276105649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 617/83, 661/19, 677/277 is 276105649.
LCM(617/83, 661/19, 677/277) = 276105649
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 617/83,661/19,677/277
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 617,661,677
Least Common Multiple of Numerators i.e. LCM of 617,661,677 is 276105649.
GCF of Denominators means GCF of 83,19,277 as per the given fractions.
GCF of 83,19,277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 617,661,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 276105649
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 617,661,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,661,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,661,677) x common factors =1 x 1 = 1
LCM(617,661,677) = ( 617 × 661 × 677 ) / 1
LCM(617,661,677) = 276105649 / 1
LCM(617,661,677) = 276105649
Lets's calculate GCF of 83,19,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276105649/1
Therefore the LCM of Fractions 617/83,661/19,677/277 is 276105649
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 83,19,277 . The biggest common factor number is the GCF number.
So the greatest common factor 83,19,277 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 617/83, 661/19, 677/277?
Answer: LCM of Numerators as per given numbers 617/83, 661/19, 677/277 is
LCM of Numerators i.e. for 617,661,677 is 276105649
GCF of denominators i.e. for 83,19,277 is 1.
Thus, LCM of Fractions is 276105649.Finally, LCM of Fractions for 617/83, 661/19, 677/277 is 276105649.