Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 846/12, 210/134 quickly i.e. 14805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 846/12, 210/134 is 14805.
LCM(846/12, 210/134) = 14805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 846/12,210/134
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 846,210
Least Common Multiple of Numerators i.e. LCM of 846,210 is 29610.
GCF of Denominators means GCF of 12,134 as per the given fractions.
GCF of 12,134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 846,210
2 | 846, 210 |
3 | 423, 105 |
141, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 141 x 35 = 29610
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 846,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,210) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(846,210) x common factors =6 x 1 = 6
LCM(846,210) = ( 846 × 210 ) / 6
LCM(846,210) = 177660 / 6
LCM(846,210) = 29610
Lets's calculate GCF of 12,134
2 | 12, 134 |
6, 67 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29610/2
Therefore the LCM of Fractions 846/12,210/134 is 14805
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 12,134 . The biggest common factor number is the GCF number.
So the greatest common factor 12,134 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 846/12, 210/134?
Answer: LCM of Numerators as per given numbers 846/12, 210/134 is
LCM of Numerators i.e. for 846,210 is 29610
GCF of denominators i.e. for 12,134 is 2.
Thus, LCM of Fractions is 14805.Finally, LCM of Fractions for 846/12, 210/134 is 14805.