Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 426/61, 887/75, 489/863 quickly i.e. 61591506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 426/61, 887/75, 489/863 is 61591506.
LCM(426/61, 887/75, 489/863) = 61591506
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 426/61,887/75,489/863
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 426,887,489
Least Common Multiple of Numerators i.e. LCM of 426,887,489 is 61591506.
GCF of Denominators means GCF of 61,75,863 as per the given fractions.
GCF of 61,75,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 426,887,489
3 | 426, 887, 489 |
142, 887, 163 |
∴ So the LCM of the given numbers is 3 x 142 x 887 x 163 = 61591506
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 426,887,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,887,489) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(426,887,489) x common factors =1 x 3 = 3
LCM(426,887,489) = ( 426 × 887 × 489 ) / 3
LCM(426,887,489) = 184774518 / 3
LCM(426,887,489) = 61591506
Lets's calculate GCF of 61,75,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61591506/1
Therefore the LCM of Fractions 426/61,887/75,489/863 is 61591506
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 61,75,863 . The biggest common factor number is the GCF number.
So the greatest common factor 61,75,863 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 426/61, 887/75, 489/863?
Answer: LCM of Numerators as per given numbers 426/61, 887/75, 489/863 is
LCM of Numerators i.e. for 426,887,489 is 61591506
GCF of denominators i.e. for 61,75,863 is 1.
Thus, LCM of Fractions is 61591506.Finally, LCM of Fractions for 426/61, 887/75, 489/863 is 61591506.