Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/328, 20/476, 489/885 quickly i.e. 68460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/328, 20/476, 489/885 is 68460.
LCM(42/328, 20/476, 489/885) = 68460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/328,20/476,489/885
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 42,20,489
Least Common Multiple of Numerators i.e. LCM of 42,20,489 is 68460.
GCF of Denominators means GCF of 328,476,885 as per the given fractions.
GCF of 328,476,885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,20,489
2 | 42, 20, 489 |
3 | 21, 10, 489 |
7, 10, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 163 = 68460
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 42,20,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,20,489) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,20,489) x common factors =1 x 6 = 6
LCM(42,20,489) = ( 42 × 20 × 489 ) / 6
LCM(42,20,489) = 410760 / 6
LCM(42,20,489) = 68460
Lets's calculate GCF of 328,476,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68460/1
Therefore the LCM of Fractions 42/328,20/476,489/885 is 68460
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 328,476,885 . The biggest common factor number is the GCF number.
So the greatest common factor 328,476,885 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 42/328, 20/476, 489/885?
Answer: LCM of Numerators as per given numbers 42/328, 20/476, 489/885 is
LCM of Numerators i.e. for 42,20,489 is 68460
GCF of denominators i.e. for 328,476,885 is 1.
Thus, LCM of Fractions is 68460.Finally, LCM of Fractions for 42/328, 20/476, 489/885 is 68460.