Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4970/230, 5371/178 quickly i.e. 13346935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4970/230, 5371/178 is 13346935.
LCM(4970/230, 5371/178) = 13346935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4970/230,5371/178
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 4970,5371
Least Common Multiple of Numerators i.e. LCM of 4970,5371 is 26693870.
GCF of Denominators means GCF of 230,178 as per the given fractions.
GCF of 230,178 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4970,5371
Given numbers has no common factors except 1. So, there LCM is their product i.e 26693870
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 4970,5371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4970,5371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4970,5371) x common factors =1 x 1 = 1
LCM(4970,5371) = ( 4970 × 5371 ) / 1
LCM(4970,5371) = 26693870 / 1
LCM(4970,5371) = 26693870
Lets's calculate GCF of 230,178
2 | 230, 178 |
115, 89 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26693870/2
Therefore the LCM of Fractions 4970/230,5371/178 is 13346935
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 230,178 . The biggest common factor number is the GCF number.
So the greatest common factor 230,178 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 4970/230, 5371/178?
Answer: LCM of Numerators as per given numbers 4970/230, 5371/178 is
LCM of Numerators i.e. for 4970,5371 is 26693870
GCF of denominators i.e. for 230,178 is 2.
Thus, LCM of Fractions is 13346935.Finally, LCM of Fractions for 4970/230, 5371/178 is 13346935.