Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 182/62, 945/5416 quickly i.e. 12285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 182/62, 945/5416 is 12285.
LCM(182/62, 945/5416) = 12285
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 182/62,945/5416
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 182,945
Least Common Multiple of Numerators i.e. LCM of 182,945 is 24570.
GCF of Denominators means GCF of 62,5416 as per the given fractions.
GCF of 62,5416 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 182,945
7 | 182, 945 |
26, 135 |
∴ So the LCM of the given numbers is 7 x 26 x 135 = 24570
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 182,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,945) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(182,945) x common factors =7 x 1 = 7
LCM(182,945) = ( 182 × 945 ) / 7
LCM(182,945) = 171990 / 7
LCM(182,945) = 24570
Lets's calculate GCF of 62,5416
2 | 62, 5416 |
31, 2708 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24570/2
Therefore the LCM of Fractions 182/62,945/5416 is 12285
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 5416
List of positive integer factors of 5416 that divides 5416 without a remainder.
1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 62,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 62,5416 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 182/62, 945/5416?
Answer: LCM of Numerators as per given numbers 182/62, 945/5416 is
LCM of Numerators i.e. for 182,945 is 24570
GCF of denominators i.e. for 62,5416 is 2.
Thus, LCM of Fractions is 12285.Finally, LCM of Fractions for 182/62, 945/5416 is 12285.