Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4938/958, 9211/304 quickly i.e. 22741959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4938/958, 9211/304 is 22741959.
LCM(4938/958, 9211/304) = 22741959
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4938/958,9211/304
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 4938,9211
Least Common Multiple of Numerators i.e. LCM of 4938,9211 is 45483918.
GCF of Denominators means GCF of 958,304 as per the given fractions.
GCF of 958,304 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4938,9211
Given numbers has no common factors except 1. So, there LCM is their product i.e 45483918
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 4938,9211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4938,9211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4938,9211) x common factors =1 x 1 = 1
LCM(4938,9211) = ( 4938 × 9211 ) / 1
LCM(4938,9211) = 45483918 / 1
LCM(4938,9211) = 45483918
Lets's calculate GCF of 958,304
2 | 958, 304 |
479, 152 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45483918/2
Therefore the LCM of Fractions 4938/958,9211/304 is 22741959
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 958,304 . The biggest common factor number is the GCF number.
So the greatest common factor 958,304 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 4938/958, 9211/304?
Answer: LCM of Numerators as per given numbers 4938/958, 9211/304 is
LCM of Numerators i.e. for 4938,9211 is 45483918
GCF of denominators i.e. for 958,304 is 2.
Thus, LCM of Fractions is 22741959.Finally, LCM of Fractions for 4938/958, 9211/304 is 22741959.