Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 576/94, 938/4262 quickly i.e. 135072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 576/94, 938/4262 is 135072.
LCM(576/94, 938/4262) = 135072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 576/94,938/4262
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 576,938
Least Common Multiple of Numerators i.e. LCM of 576,938 is 270144.
GCF of Denominators means GCF of 94,4262 as per the given fractions.
GCF of 94,4262 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 576,938
2 | 576, 938 |
288, 469 |
∴ So the LCM of the given numbers is 2 x 288 x 469 = 270144
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 576,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(576,938) x common factors =2 x 1 = 2
LCM(576,938) = ( 576 × 938 ) / 2
LCM(576,938) = 540288 / 2
LCM(576,938) = 270144
Lets's calculate GCF of 94,4262
2 | 94, 4262 |
47, 2131 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270144/2
Therefore the LCM of Fractions 576/94,938/4262 is 135072
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 4262
List of positive integer factors of 4262 that divides 4262 without a remainder.
1,2,2131,4262
Greatest Common Factor
We found the factors 94,4262 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4262 is 2.
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 576/94, 938/4262?
Answer: LCM of Numerators as per given numbers 576/94, 938/4262 is
LCM of Numerators i.e. for 576,938 is 270144
GCF of denominators i.e. for 94,4262 is 2.
Thus, LCM of Fractions is 135072.Finally, LCM of Fractions for 576/94, 938/4262 is 135072.