Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 348/60, 860/43, 927/32 quickly i.e. 23119380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 348/60, 860/43, 927/32 is 23119380.
LCM(348/60, 860/43, 927/32) = 23119380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 348/60,860/43,927/32
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 348,860,927
Least Common Multiple of Numerators i.e. LCM of 348,860,927 is 23119380.
GCF of Denominators means GCF of 60,43,32 as per the given fractions.
GCF of 60,43,32 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 348,860,927
2 | 348, 860, 927 |
2 | 174, 430, 927 |
3 | 87, 215, 927 |
29, 215, 309 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 215 x 309 = 23119380
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 348,860,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,860,927) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(348,860,927) x common factors =1 x 12 = 12
LCM(348,860,927) = ( 348 × 860 × 927 ) / 12
LCM(348,860,927) = 277432560 / 12
LCM(348,860,927) = 23119380
Lets's calculate GCF of 60,43,32
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23119380/1
Therefore the LCM of Fractions 348/60,860/43,927/32 is 23119380
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Greatest Common Factor
We found the factors 60,43,32 . The biggest common factor number is the GCF number.
So the greatest common factor 60,43,32 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 348/60, 860/43, 927/32?
Answer: LCM of Numerators as per given numbers 348/60, 860/43, 927/32 is
LCM of Numerators i.e. for 348,860,927 is 23119380
GCF of denominators i.e. for 60,43,32 is 1.
Thus, LCM of Fractions is 23119380.Finally, LCM of Fractions for 348/60, 860/43, 927/32 is 23119380.