Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 273/62, 252/16, 182/532 quickly i.e. 1638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 273/62, 252/16, 182/532 is 1638.
LCM(273/62, 252/16, 182/532) = 1638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 273/62,252/16,182/532
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 273,252,182
Least Common Multiple of Numerators i.e. LCM of 273,252,182 is 3276.
GCF of Denominators means GCF of 62,16,532 as per the given fractions.
GCF of 62,16,532 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 273,252,182
2 | 273, 252, 182 |
3 | 273, 126, 91 |
7 | 91, 42, 91 |
13 | 13, 6, 13 |
1, 6, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 1 x 6 x 1 = 3276
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 273,252,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,252,182) = 7
common factors(in case of two or more numbers have common factors) = 546
GCF(273,252,182) x common factors =7 x 546 = 3822
LCM(273,252,182) = ( 273 × 252 × 182 ) / 3822
LCM(273,252,182) = 12520872 / 3822
LCM(273,252,182) = 3276
Lets's calculate GCF of 62,16,532
2 | 62, 16, 532 |
31, 8, 266 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3276/2
Therefore the LCM of Fractions 273/62,252/16,182/532 is 1638
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 62,16,532 . The biggest common factor number is the GCF number.
So the greatest common factor 62,16,532 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 273/62, 252/16, 182/532?
Answer: LCM of Numerators as per given numbers 273/62, 252/16, 182/532 is
LCM of Numerators i.e. for 273,252,182 is 3276
GCF of denominators i.e. for 62,16,532 is 2.
Thus, LCM of Fractions is 1638.Finally, LCM of Fractions for 273/62, 252/16, 182/532 is 1638.