Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 828/984, 377/580 quickly i.e. 78039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 828/984, 377/580 is 78039.
LCM(828/984, 377/580) = 78039
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 828/984,377/580
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 828,377
Least Common Multiple of Numerators i.e. LCM of 828,377 is 312156.
GCF of Denominators means GCF of 984,580 as per the given fractions.
GCF of 984,580 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 828,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 312156
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 828,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,377) x common factors =1 x 1 = 1
LCM(828,377) = ( 828 × 377 ) / 1
LCM(828,377) = 312156 / 1
LCM(828,377) = 312156
Lets's calculate GCF of 984,580
2 | 984, 580 |
2 | 492, 290 |
246, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312156/4
Therefore the LCM of Fractions 828/984,377/580 is 78039
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 984,580 . The biggest common factor number is the GCF number.
So the greatest common factor 984,580 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 828/984, 377/580?
Answer: LCM of Numerators as per given numbers 828/984, 377/580 is
LCM of Numerators i.e. for 828,377 is 312156
GCF of denominators i.e. for 984,580 is 4.
Thus, LCM of Fractions is 78039.Finally, LCM of Fractions for 828/984, 377/580 is 78039.