Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 128/48, 678/32, 594/639 quickly i.e. 4295808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 128/48, 678/32, 594/639 is 4295808.
LCM(128/48, 678/32, 594/639) = 4295808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 128/48,678/32,594/639
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 128,678,594
Least Common Multiple of Numerators i.e. LCM of 128,678,594 is 4295808.
GCF of Denominators means GCF of 48,32,639 as per the given fractions.
GCF of 48,32,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 128,678,594
2 | 128, 678, 594 |
3 | 64, 339, 297 |
64, 113, 99 |
∴ So the LCM of the given numbers is 2 x 3 x 64 x 113 x 99 = 4295808
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 128,678,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,678,594) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(128,678,594) x common factors =2 x 6 = 12
LCM(128,678,594) = ( 128 × 678 × 594 ) / 12
LCM(128,678,594) = 51549696 / 12
LCM(128,678,594) = 4295808
Lets's calculate GCF of 48,32,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4295808/1
Therefore the LCM of Fractions 128/48,678/32,594/639 is 4295808
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 48,32,639 . The biggest common factor number is the GCF number.
So the greatest common factor 48,32,639 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 128/48, 678/32, 594/639?
Answer: LCM of Numerators as per given numbers 128/48, 678/32, 594/639 is
LCM of Numerators i.e. for 128,678,594 is 4295808
GCF of denominators i.e. for 48,32,639 is 1.
Thus, LCM of Fractions is 4295808.Finally, LCM of Fractions for 128/48, 678/32, 594/639 is 4295808.