Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/282, 12/340 quickly i.e. 138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/282, 12/340 is 138.
LCM(69/282, 12/340) = 138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/282,12/340
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 69,12
Least Common Multiple of Numerators i.e. LCM of 69,12 is 276.
GCF of Denominators means GCF of 282,340 as per the given fractions.
GCF of 282,340 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,12
3 | 69, 12 |
23, 4 |
∴ So the LCM of the given numbers is 3 x 23 x 4 = 276
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 69,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,12) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,12) x common factors =3 x 1 = 3
LCM(69,12) = ( 69 × 12 ) / 3
LCM(69,12) = 828 / 3
LCM(69,12) = 276
Lets's calculate GCF of 282,340
2 | 282, 340 |
141, 170 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276/2
Therefore the LCM of Fractions 69/282,12/340 is 138
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 282,340 . The biggest common factor number is the GCF number.
So the greatest common factor 282,340 is 2.
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 69/282, 12/340?
Answer: LCM of Numerators as per given numbers 69/282, 12/340 is
LCM of Numerators i.e. for 69,12 is 276
GCF of denominators i.e. for 282,340 is 2.
Thus, LCM of Fractions is 138.Finally, LCM of Fractions for 69/282, 12/340 is 138.