Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 257/57, 451/86, 480/454 quickly i.e. 55635360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 257/57, 451/86, 480/454 is 55635360.
LCM(257/57, 451/86, 480/454) = 55635360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 257/57,451/86,480/454
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 257,451,480
Least Common Multiple of Numerators i.e. LCM of 257,451,480 is 55635360.
GCF of Denominators means GCF of 57,86,454 as per the given fractions.
GCF of 57,86,454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 257,451,480
Given numbers has no common factors except 1. So, there LCM is their product i.e 55635360
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 257,451,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,451,480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,451,480) x common factors =1 x 1 = 1
LCM(257,451,480) = ( 257 × 451 × 480 ) / 1
LCM(257,451,480) = 55635360 / 1
LCM(257,451,480) = 55635360
Lets's calculate GCF of 57,86,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55635360/1
Therefore the LCM of Fractions 257/57,451/86,480/454 is 55635360
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 57,86,454 . The biggest common factor number is the GCF number.
So the greatest common factor 57,86,454 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 257/57, 451/86, 480/454?
Answer: LCM of Numerators as per given numbers 257/57, 451/86, 480/454 is
LCM of Numerators i.e. for 257,451,480 is 55635360
GCF of denominators i.e. for 57,86,454 is 1.
Thus, LCM of Fractions is 55635360.Finally, LCM of Fractions for 257/57, 451/86, 480/454 is 55635360.