Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/12, 21/49, 686/283 quickly i.e. 2058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/12, 21/49, 686/283 is 2058.
LCM(49/12, 21/49, 686/283) = 2058
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/12,21/49,686/283
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 49,21,686
Least Common Multiple of Numerators i.e. LCM of 49,21,686 is 2058.
GCF of Denominators means GCF of 12,49,283 as per the given fractions.
GCF of 12,49,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,21,686
7 | 49, 21, 686 |
7 | 7, 3, 98 |
1, 3, 14 |
∴ So the LCM of the given numbers is 7 x 7 x 1 x 3 x 14 = 2058
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 49,21,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,21,686) = 7
common factors(in case of two or more numbers have common factors) = 49
GCF(49,21,686) x common factors =7 x 49 = 343
LCM(49,21,686) = ( 49 × 21 × 686 ) / 343
LCM(49,21,686) = 705894 / 343
LCM(49,21,686) = 2058
Lets's calculate GCF of 12,49,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2058/1
Therefore the LCM of Fractions 49/12,21/49,686/283 is 2058
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 12,49,283 . The biggest common factor number is the GCF number.
So the greatest common factor 12,49,283 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 49/12, 21/49, 686/283?
Answer: LCM of Numerators as per given numbers 49/12, 21/49, 686/283 is
LCM of Numerators i.e. for 49,21,686 is 2058
GCF of denominators i.e. for 12,49,283 is 1.
Thus, LCM of Fractions is 2058.Finally, LCM of Fractions for 49/12, 21/49, 686/283 is 2058.