Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/31, 374/82, 492/401 quickly i.e. 644028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/31, 374/82, 492/401 is 644028.
LCM(77/31, 374/82, 492/401) = 644028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/31,374/82,492/401
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 77,374,492
Least Common Multiple of Numerators i.e. LCM of 77,374,492 is 644028.
GCF of Denominators means GCF of 31,82,401 as per the given fractions.
GCF of 31,82,401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,374,492
2 | 77, 374, 492 |
11 | 77, 187, 246 |
7, 17, 246 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 17 x 246 = 644028
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 77,374,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,374,492) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(77,374,492) x common factors =1 x 22 = 22
LCM(77,374,492) = ( 77 × 374 × 492 ) / 22
LCM(77,374,492) = 14168616 / 22
LCM(77,374,492) = 644028
Lets's calculate GCF of 31,82,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644028/1
Therefore the LCM of Fractions 77/31,374/82,492/401 is 644028
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 31,82,401 . The biggest common factor number is the GCF number.
So the greatest common factor 31,82,401 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 77/31, 374/82, 492/401?
Answer: LCM of Numerators as per given numbers 77/31, 374/82, 492/401 is
LCM of Numerators i.e. for 77,374,492 is 644028
GCF of denominators i.e. for 31,82,401 is 1.
Thus, LCM of Fractions is 644028.Finally, LCM of Fractions for 77/31, 374/82, 492/401 is 644028.