Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/56, 49/580, 28/305 quickly i.e. 196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/56, 49/580, 28/305 is 196.
LCM(1/56, 49/580, 28/305) = 196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/56,49/580,28/305
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 1,49,28
Least Common Multiple of Numerators i.e. LCM of 1,49,28 is 196.
GCF of Denominators means GCF of 56,580,305 as per the given fractions.
GCF of 56,580,305 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,49,28
7 | 1, 49, 28 |
1, 7, 4 |
∴ So the LCM of the given numbers is 7 x 1 x 7 x 4 = 196
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 1,49,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,49,28) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(1,49,28) x common factors =1 x 7 = 7
LCM(1,49,28) = ( 1 × 49 × 28 ) / 7
LCM(1,49,28) = 1372 / 7
LCM(1,49,28) = 196
Lets's calculate GCF of 56,580,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196/1
Therefore the LCM of Fractions 1/56,49/580,28/305 is 196
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
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
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 56,580,305 . The biggest common factor number is the GCF number.
So the greatest common factor 56,580,305 is 1.
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 1/56, 49/580, 28/305?
Answer: LCM of Numerators as per given numbers 1/56, 49/580, 28/305 is
LCM of Numerators i.e. for 1,49,28 is 196
GCF of denominators i.e. for 56,580,305 is 1.
Thus, LCM of Fractions is 196.Finally, LCM of Fractions for 1/56, 49/580, 28/305 is 196.