Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/424, 491/434, 733/127 quickly i.e. 18355053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/424, 491/434, 733/127 is 18355053.
LCM(51/424, 491/434, 733/127) = 18355053
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/424,491/434,733/127
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 51,491,733
Least Common Multiple of Numerators i.e. LCM of 51,491,733 is 18355053.
GCF of Denominators means GCF of 424,434,127 as per the given fractions.
GCF of 424,434,127 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,491,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 18355053
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 51,491,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,491,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,491,733) x common factors =1 x 1 = 1
LCM(51,491,733) = ( 51 × 491 × 733 ) / 1
LCM(51,491,733) = 18355053 / 1
LCM(51,491,733) = 18355053
Lets's calculate GCF of 424,434,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18355053/1
Therefore the LCM of Fractions 51/424,491/434,733/127 is 18355053
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 424,434,127 . The biggest common factor number is the GCF number.
So the greatest common factor 424,434,127 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 51/424, 491/434, 733/127?
Answer: LCM of Numerators as per given numbers 51/424, 491/434, 733/127 is
LCM of Numerators i.e. for 51,491,733 is 18355053
GCF of denominators i.e. for 424,434,127 is 1.
Thus, LCM of Fractions is 18355053.Finally, LCM of Fractions for 51/424, 491/434, 733/127 is 18355053.