Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/112, 1852/3268 quickly i.e. 6945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/112, 1852/3268 is 6945.
LCM(60/112, 1852/3268) = 6945
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/112,1852/3268
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 60,1852
Least Common Multiple of Numerators i.e. LCM of 60,1852 is 27780.
GCF of Denominators means GCF of 112,3268 as per the given fractions.
GCF of 112,3268 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,1852
2 | 60, 1852 |
2 | 30, 926 |
15, 463 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 463 = 27780
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 60,1852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,1852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(60,1852) x common factors =4 x 1 = 4
LCM(60,1852) = ( 60 × 1852 ) / 4
LCM(60,1852) = 111120 / 4
LCM(60,1852) = 27780
Lets's calculate GCF of 112,3268
2 | 112, 3268 |
2 | 56, 1634 |
28, 817 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27780/4
Therefore the LCM of Fractions 60/112,1852/3268 is 6945
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 3268
List of positive integer factors of 3268 that divides 3268 without a remainder.
1,2,4,19,38,43,76,86,172,817,1634,3268
Greatest Common Factor
We found the factors 112,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 112,3268 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 60/112, 1852/3268?
Answer: LCM of Numerators as per given numbers 60/112, 1852/3268 is
LCM of Numerators i.e. for 60,1852 is 27780
GCF of denominators i.e. for 112,3268 is 4.
Thus, LCM of Fractions is 6945.Finally, LCM of Fractions for 60/112, 1852/3268 is 6945.