Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 828/392, 4445/116 quickly i.e. 920115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 828/392, 4445/116 is 920115.
LCM(828/392, 4445/116) = 920115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 828/392,4445/116
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 828,4445
Least Common Multiple of Numerators i.e. LCM of 828,4445 is 3680460.
GCF of Denominators means GCF of 392,116 as per the given fractions.
GCF of 392,116 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 828,4445
Given numbers has no common factors except 1. So, there LCM is their product i.e 3680460
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 828,4445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,4445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,4445) x common factors =1 x 1 = 1
LCM(828,4445) = ( 828 × 4445 ) / 1
LCM(828,4445) = 3680460 / 1
LCM(828,4445) = 3680460
Lets's calculate GCF of 392,116
2 | 392, 116 |
2 | 196, 58 |
98, 29 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3680460/4
Therefore the LCM of Fractions 828/392,4445/116 is 920115
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 392,116 . The biggest common factor number is the GCF number.
So the greatest common factor 392,116 is 4.
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 828/392, 4445/116?
Answer: LCM of Numerators as per given numbers 828/392, 4445/116 is
LCM of Numerators i.e. for 828,4445 is 3680460
GCF of denominators i.e. for 392,116 is 4.
Thus, LCM of Fractions is 920115.Finally, LCM of Fractions for 828/392, 4445/116 is 920115.