Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/178, 932/368 quickly i.e. 108112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/178, 932/368 is 108112.
LCM(928/178, 932/368) = 108112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/178,932/368
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 928,932
Least Common Multiple of Numerators i.e. LCM of 928,932 is 216224.
GCF of Denominators means GCF of 178,368 as per the given fractions.
GCF of 178,368 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,932
2 | 928, 932 |
2 | 464, 466 |
232, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 232 x 233 = 216224
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 928,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(928,932) x common factors =4 x 1 = 4
LCM(928,932) = ( 928 × 932 ) / 4
LCM(928,932) = 864896 / 4
LCM(928,932) = 216224
Lets's calculate GCF of 178,368
2 | 178, 368 |
89, 184 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216224/2
Therefore the LCM of Fractions 928/178,932/368 is 108112
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 178,368 . The biggest common factor number is the GCF number.
So the greatest common factor 178,368 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 928/178, 932/368?
Answer: LCM of Numerators as per given numbers 928/178, 932/368 is
LCM of Numerators i.e. for 928,932 is 216224
GCF of denominators i.e. for 178,368 is 2.
Thus, LCM of Fractions is 108112.Finally, LCM of Fractions for 928/178, 932/368 is 108112.