Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/403, 74/301, 118/946 quickly i.e. 231398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/403, 74/301, 118/946 is 231398.
LCM(53/403, 74/301, 118/946) = 231398
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/403,74/301,118/946
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 53,74,118
Least Common Multiple of Numerators i.e. LCM of 53,74,118 is 231398.
GCF of Denominators means GCF of 403,301,946 as per the given fractions.
GCF of 403,301,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,74,118
2 | 53, 74, 118 |
53, 37, 59 |
∴ So the LCM of the given numbers is 2 x 53 x 37 x 59 = 231398
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 53,74,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,74,118) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,74,118) x common factors =1 x 2 = 2
LCM(53,74,118) = ( 53 × 74 × 118 ) / 2
LCM(53,74,118) = 462796 / 2
LCM(53,74,118) = 231398
Lets's calculate GCF of 403,301,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231398/1
Therefore the LCM of Fractions 53/403,74/301,118/946 is 231398
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 403,301,946 . The biggest common factor number is the GCF number.
So the greatest common factor 403,301,946 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 53/403, 74/301, 118/946?
Answer: LCM of Numerators as per given numbers 53/403, 74/301, 118/946 is
LCM of Numerators i.e. for 53,74,118 is 231398
GCF of denominators i.e. for 403,301,946 is 1.
Thus, LCM of Fractions is 231398.Finally, LCM of Fractions for 53/403, 74/301, 118/946 is 231398.