Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 420/923, 469/830 quickly i.e. 28140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 420/923, 469/830 is 28140.
LCM(420/923, 469/830) = 28140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 420/923,469/830
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 420,469
Least Common Multiple of Numerators i.e. LCM of 420,469 is 28140.
GCF of Denominators means GCF of 923,830 as per the given fractions.
GCF of 923,830 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 420,469
7 | 420, 469 |
60, 67 |
∴ So the LCM of the given numbers is 7 x 60 x 67 = 28140
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 420,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,469) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(420,469) x common factors =7 x 1 = 7
LCM(420,469) = ( 420 × 469 ) / 7
LCM(420,469) = 196980 / 7
LCM(420,469) = 28140
Lets's calculate GCF of 923,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28140/1
Therefore the LCM of Fractions 420/923,469/830 is 28140
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 923,830 . The biggest common factor number is the GCF number.
So the greatest common factor 923,830 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 420/923, 469/830?
Answer: LCM of Numerators as per given numbers 420/923, 469/830 is
LCM of Numerators i.e. for 420,469 is 28140
GCF of denominators i.e. for 923,830 is 1.
Thus, LCM of Fractions is 28140.Finally, LCM of Fractions for 420/923, 469/830 is 28140.