Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/908, 4932/9121 quickly i.e. 9864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/908, 4932/9121 is 9864.
LCM(72/908, 4932/9121) = 9864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/908,4932/9121
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 72,4932
Least Common Multiple of Numerators i.e. LCM of 72,4932 is 9864.
GCF of Denominators means GCF of 908,9121 as per the given fractions.
GCF of 908,9121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,4932
2 | 72, 4932 |
2 | 36, 2466 |
3 | 18, 1233 |
3 | 6, 411 |
2, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 137 = 9864
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 72,4932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,4932) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(72,4932) x common factors =36 x 1 = 36
LCM(72,4932) = ( 72 × 4932 ) / 36
LCM(72,4932) = 355104 / 36
LCM(72,4932) = 9864
Lets's calculate GCF of 908,9121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9864/1
Therefore the LCM of Fractions 72/908,4932/9121 is 9864
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 9121
List of positive integer factors of 9121 that divides 9121 without a remainder.
1,7,1303,9121
Greatest Common Factor
We found the factors 908,9121 . The biggest common factor number is the GCF number.
So the greatest common factor 908,9121 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 72/908, 4932/9121?
Answer: LCM of Numerators as per given numbers 72/908, 4932/9121 is
LCM of Numerators i.e. for 72,4932 is 9864
GCF of denominators i.e. for 908,9121 is 1.
Thus, LCM of Fractions is 9864.Finally, LCM of Fractions for 72/908, 4932/9121 is 9864.