Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/940, 23/106, 824/141 quickly i.e. 322184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/940, 23/106, 824/141 is 322184.
LCM(34/940, 23/106, 824/141) = 322184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/940,23/106,824/141
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 34,23,824
Least Common Multiple of Numerators i.e. LCM of 34,23,824 is 322184.
GCF of Denominators means GCF of 940,106,141 as per the given fractions.
GCF of 940,106,141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,23,824
2 | 34, 23, 824 |
17, 23, 412 |
∴ So the LCM of the given numbers is 2 x 17 x 23 x 412 = 322184
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 34,23,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,23,824) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,23,824) x common factors =1 x 2 = 2
LCM(34,23,824) = ( 34 × 23 × 824 ) / 2
LCM(34,23,824) = 644368 / 2
LCM(34,23,824) = 322184
Lets's calculate GCF of 940,106,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322184/1
Therefore the LCM of Fractions 34/940,23/106,824/141 is 322184
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 940,106,141 . The biggest common factor number is the GCF number.
So the greatest common factor 940,106,141 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 34/940, 23/106, 824/141?
Answer: LCM of Numerators as per given numbers 34/940, 23/106, 824/141 is
LCM of Numerators i.e. for 34,23,824 is 322184
GCF of denominators i.e. for 940,106,141 is 1.
Thus, LCM of Fractions is 322184.Finally, LCM of Fractions for 34/940, 23/106, 824/141 is 322184.