Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 428/68, 320/59, 658/923 quickly i.e. 11264960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 428/68, 320/59, 658/923 is 11264960.
LCM(428/68, 320/59, 658/923) = 11264960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 428/68,320/59,658/923
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 428,320,658
Least Common Multiple of Numerators i.e. LCM of 428,320,658 is 11264960.
GCF of Denominators means GCF of 68,59,923 as per the given fractions.
GCF of 68,59,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 428,320,658
2 | 428, 320, 658 |
2 | 214, 160, 329 |
107, 80, 329 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 80 x 329 = 11264960
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 428,320,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,320,658) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(428,320,658) x common factors =2 x 4 = 8
LCM(428,320,658) = ( 428 × 320 × 658 ) / 8
LCM(428,320,658) = 90119680 / 8
LCM(428,320,658) = 11264960
Lets's calculate GCF of 68,59,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11264960/1
Therefore the LCM of Fractions 428/68,320/59,658/923 is 11264960
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 68,59,923 . The biggest common factor number is the GCF number.
So the greatest common factor 68,59,923 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 428/68, 320/59, 658/923?
Answer: LCM of Numerators as per given numbers 428/68, 320/59, 658/923 is
LCM of Numerators i.e. for 428,320,658 is 11264960
GCF of denominators i.e. for 68,59,923 is 1.
Thus, LCM of Fractions is 11264960.Finally, LCM of Fractions for 428/68, 320/59, 658/923 is 11264960.