Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 936/498, 1038/528 quickly i.e. 26988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 936/498, 1038/528 is 26988.
LCM(936/498, 1038/528) = 26988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 936/498,1038/528
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 936,1038
Least Common Multiple of Numerators i.e. LCM of 936,1038 is 161928.
GCF of Denominators means GCF of 498,528 as per the given fractions.
GCF of 498,528 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 936,1038
2 | 936, 1038 |
3 | 468, 519 |
156, 173 |
∴ So the LCM of the given numbers is 2 x 3 x 156 x 173 = 161928
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 936,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,1038) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(936,1038) x common factors =6 x 1 = 6
LCM(936,1038) = ( 936 × 1038 ) / 6
LCM(936,1038) = 971568 / 6
LCM(936,1038) = 161928
Lets's calculate GCF of 498,528
2 | 498, 528 |
3 | 249, 264 |
83, 88 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161928/6
Therefore the LCM of Fractions 936/498,1038/528 is 26988
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 498,528 . The biggest common factor number is the GCF number.
So the greatest common factor 498,528 is 6.
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 936/498, 1038/528?
Answer: LCM of Numerators as per given numbers 936/498, 1038/528 is
LCM of Numerators i.e. for 936,1038 is 161928
GCF of denominators i.e. for 498,528 is 6.
Thus, LCM of Fractions is 26988.Finally, LCM of Fractions for 936/498, 1038/528 is 26988.