Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 479/867, 243/210 quickly i.e. 38799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 479/867, 243/210 is 38799.
LCM(479/867, 243/210) = 38799
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 479/867,243/210
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 479,243
Least Common Multiple of Numerators i.e. LCM of 479,243 is 116397.
GCF of Denominators means GCF of 867,210 as per the given fractions.
GCF of 867,210 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 479,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 116397
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 479,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,243) x common factors =1 x 1 = 1
LCM(479,243) = ( 479 × 243 ) / 1
LCM(479,243) = 116397 / 1
LCM(479,243) = 116397
Lets's calculate GCF of 867,210
3 | 867, 210 |
289, 70 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116397/3
Therefore the LCM of Fractions 479/867,243/210 is 38799
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 867,210 . The biggest common factor number is the GCF number.
So the greatest common factor 867,210 is 3.
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 479/867, 243/210?
Answer: LCM of Numerators as per given numbers 479/867, 243/210 is
LCM of Numerators i.e. for 479,243 is 116397
GCF of denominators i.e. for 867,210 is 3.
Thus, LCM of Fractions is 38799.Finally, LCM of Fractions for 479/867, 243/210 is 38799.