Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/49, 954/62, 794/732 quickly i.e. 378738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/49, 954/62, 794/732 is 378738.
LCM(53/49, 954/62, 794/732) = 378738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/49,954/62,794/732
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 53,954,794
Least Common Multiple of Numerators i.e. LCM of 53,954,794 is 378738.
GCF of Denominators means GCF of 49,62,732 as per the given fractions.
GCF of 49,62,732 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,954,794
2 | 53, 954, 794 |
53 | 53, 477, 397 |
1, 9, 397 |
∴ So the LCM of the given numbers is 2 x 53 x 1 x 9 x 397 = 378738
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 53,954,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,954,794) = 1
common factors(in case of two or more numbers have common factors) = 106
GCF(53,954,794) x common factors =1 x 106 = 106
LCM(53,954,794) = ( 53 × 954 × 794 ) / 106
LCM(53,954,794) = 40146228 / 106
LCM(53,954,794) = 378738
Lets's calculate GCF of 49,62,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378738/1
Therefore the LCM of Fractions 53/49,954/62,794/732 is 378738
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 49,62,732 . The biggest common factor number is the GCF number.
So the greatest common factor 49,62,732 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 53/49, 954/62, 794/732?
Answer: LCM of Numerators as per given numbers 53/49, 954/62, 794/732 is
LCM of Numerators i.e. for 53,954,794 is 378738
GCF of denominators i.e. for 49,62,732 is 1.
Thus, LCM of Fractions is 378738.Finally, LCM of Fractions for 53/49, 954/62, 794/732 is 378738.