Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 234/30, 931/176 quickly i.e. 108927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 234/30, 931/176 is 108927.
LCM(234/30, 931/176) = 108927
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 234/30,931/176
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 234,931
Least Common Multiple of Numerators i.e. LCM of 234,931 is 217854.
GCF of Denominators means GCF of 30,176 as per the given fractions.
GCF of 30,176 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 234,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 217854
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 234,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,931) x common factors =1 x 1 = 1
LCM(234,931) = ( 234 × 931 ) / 1
LCM(234,931) = 217854 / 1
LCM(234,931) = 217854
Lets's calculate GCF of 30,176
2 | 30, 176 |
15, 88 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217854/2
Therefore the LCM of Fractions 234/30,931/176 is 108927
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 30,176 . The biggest common factor number is the GCF number.
So the greatest common factor 30,176 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 234/30, 931/176?
Answer: LCM of Numerators as per given numbers 234/30, 931/176 is
LCM of Numerators i.e. for 234,931 is 217854
GCF of denominators i.e. for 30,176 is 2.
Thus, LCM of Fractions is 108927.Finally, LCM of Fractions for 234/30, 931/176 is 108927.