Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 943/942, 299/618 quickly i.e. 12259/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 943/942, 299/618 is 12259/6.
LCM(943/942, 299/618) = 12259/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 943/942,299/618
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 943,299
Least Common Multiple of Numerators i.e. LCM of 943,299 is 12259.
GCF of Denominators means GCF of 942,618 as per the given fractions.
GCF of 942,618 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 943,299
23 | 943, 299 |
41, 13 |
∴ So the LCM of the given numbers is 23 x 41 x 13 = 12259
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 943,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,299) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(943,299) x common factors =23 x 1 = 23
LCM(943,299) = ( 943 × 299 ) / 23
LCM(943,299) = 281957 / 23
LCM(943,299) = 12259
Lets's calculate GCF of 942,618
2 | 942, 618 |
3 | 471, 309 |
157, 103 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12259/6
Therefore the LCM of Fractions 943/942,299/618 is 12259/6
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 942,618 . The biggest common factor number is the GCF number.
So the greatest common factor 942,618 is 6.
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 943/942, 299/618?
Answer: LCM of Numerators as per given numbers 943/942, 299/618 is
LCM of Numerators i.e. for 943,299 is 12259
GCF of denominators i.e. for 942,618 is 6.
Thus, LCM of Fractions is 12259/6.Finally, LCM of Fractions for 943/942, 299/618 is 12259/6.