Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 668/62, 149/36, 477/272 quickly i.e. 23738382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 668/62, 149/36, 477/272 is 23738382.
LCM(668/62, 149/36, 477/272) = 23738382
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 668/62,149/36,477/272
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 668,149,477
Least Common Multiple of Numerators i.e. LCM of 668,149,477 is 47476764.
GCF of Denominators means GCF of 62,36,272 as per the given fractions.
GCF of 62,36,272 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 668,149,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 47476764
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 668,149,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,149,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,149,477) x common factors =1 x 1 = 1
LCM(668,149,477) = ( 668 × 149 × 477 ) / 1
LCM(668,149,477) = 47476764 / 1
LCM(668,149,477) = 47476764
Lets's calculate GCF of 62,36,272
2 | 62, 36, 272 |
31, 18, 136 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47476764/2
Therefore the LCM of Fractions 668/62,149/36,477/272 is 23738382
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 62,36,272 . The biggest common factor number is the GCF number.
So the greatest common factor 62,36,272 is 2.
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 668/62, 149/36, 477/272?
Answer: LCM of Numerators as per given numbers 668/62, 149/36, 477/272 is
LCM of Numerators i.e. for 668,149,477 is 47476764
GCF of denominators i.e. for 62,36,272 is 2.
Thus, LCM of Fractions is 23738382.Finally, LCM of Fractions for 668/62, 149/36, 477/272 is 23738382.