Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 528/946, 123/994 quickly i.e. 10824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 528/946, 123/994 is 10824.
LCM(528/946, 123/994) = 10824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 528/946,123/994
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 528,123
Least Common Multiple of Numerators i.e. LCM of 528,123 is 21648.
GCF of Denominators means GCF of 946,994 as per the given fractions.
GCF of 946,994 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 528,123
3 | 528, 123 |
176, 41 |
∴ So the LCM of the given numbers is 3 x 176 x 41 = 21648
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 528,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(528,123) x common factors =3 x 1 = 3
LCM(528,123) = ( 528 × 123 ) / 3
LCM(528,123) = 64944 / 3
LCM(528,123) = 21648
Lets's calculate GCF of 946,994
2 | 946, 994 |
473, 497 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21648/2
Therefore the LCM of Fractions 528/946,123/994 is 10824
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 946,994 . The biggest common factor number is the GCF number.
So the greatest common factor 946,994 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 528/946, 123/994?
Answer: LCM of Numerators as per given numbers 528/946, 123/994 is
LCM of Numerators i.e. for 528,123 is 21648
GCF of denominators i.e. for 946,994 is 2.
Thus, LCM of Fractions is 10824.Finally, LCM of Fractions for 528/946, 123/994 is 10824.