Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/396, 92/492, 724/252 quickly i.e. 882556/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/396, 92/492, 724/252 is 882556/12.
LCM(53/396, 92/492, 724/252) = 882556/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/396,92/492,724/252
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 53,92,724
Least Common Multiple of Numerators i.e. LCM of 53,92,724 is 882556.
GCF of Denominators means GCF of 396,492,252 as per the given fractions.
GCF of 396,492,252 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,92,724
2 | 53, 92, 724 |
2 | 53, 46, 362 |
53, 23, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 23 x 181 = 882556
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 53,92,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,92,724) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(53,92,724) x common factors =1 x 4 = 4
LCM(53,92,724) = ( 53 × 92 × 724 ) / 4
LCM(53,92,724) = 3530224 / 4
LCM(53,92,724) = 882556
Lets's calculate GCF of 396,492,252
2 | 396, 492, 252 |
2 | 198, 246, 126 |
3 | 99, 123, 63 |
33, 41, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 882556/12
Therefore the LCM of Fractions 53/396,92/492,724/252 is 882556/12
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 396,492,252 . The biggest common factor number is the GCF number.
So the greatest common factor 396,492,252 is 12.
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 53/396, 92/492, 724/252?
Answer: LCM of Numerators as per given numbers 53/396, 92/492, 724/252 is
LCM of Numerators i.e. for 53,92,724 is 882556
GCF of denominators i.e. for 396,492,252 is 12.
Thus, LCM of Fractions is 882556/12.Finally, LCM of Fractions for 53/396, 92/492, 724/252 is 882556/12.