Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 987/29, 382/5162 quickly i.e. 377034/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 987/29, 382/5162 is 377034/29.
LCM(987/29, 382/5162) = 377034/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 987/29,382/5162
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 987,382
Least Common Multiple of Numerators i.e. LCM of 987,382 is 377034.
GCF of Denominators means GCF of 29,5162 as per the given fractions.
GCF of 29,5162 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 987,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 377034
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 987,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,382) x common factors =1 x 1 = 1
LCM(987,382) = ( 987 × 382 ) / 1
LCM(987,382) = 377034 / 1
LCM(987,382) = 377034
Lets's calculate GCF of 29,5162
29 | 29, 5162 |
1, 178 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377034/29
Therefore the LCM of Fractions 987/29,382/5162 is 377034/29
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 5162
List of positive integer factors of 5162 that divides 5162 without a remainder.
1,2,29,58,89,178,2581,5162
Greatest Common Factor
We found the factors 29,5162 . The biggest common factor number is the GCF number.
So the greatest common factor 29,5162 is 29.
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 987/29, 382/5162?
Answer: LCM of Numerators as per given numbers 987/29, 382/5162 is
LCM of Numerators i.e. for 987,382 is 377034
GCF of denominators i.e. for 29,5162 is 29.
Thus, LCM of Fractions is 377034/29.Finally, LCM of Fractions for 987/29, 382/5162 is 377034/29.