Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/92, 29/42, 16/123 quickly i.e. 7888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/92, 29/42, 16/123 is 7888.
LCM(34/92, 29/42, 16/123) = 7888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/92,29/42,16/123
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 34,29,16
Least Common Multiple of Numerators i.e. LCM of 34,29,16 is 7888.
GCF of Denominators means GCF of 92,42,123 as per the given fractions.
GCF of 92,42,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,29,16
2 | 34, 29, 16 |
17, 29, 8 |
∴ So the LCM of the given numbers is 2 x 17 x 29 x 8 = 7888
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 34,29,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,29,16) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,29,16) x common factors =1 x 2 = 2
LCM(34,29,16) = ( 34 × 29 × 16 ) / 2
LCM(34,29,16) = 15776 / 2
LCM(34,29,16) = 7888
Lets's calculate GCF of 92,42,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7888/1
Therefore the LCM of Fractions 34/92,29/42,16/123 is 7888
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 92,42,123 . The biggest common factor number is the GCF number.
So the greatest common factor 92,42,123 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 34/92, 29/42, 16/123?
Answer: LCM of Numerators as per given numbers 34/92, 29/42, 16/123 is
LCM of Numerators i.e. for 34,29,16 is 7888
GCF of denominators i.e. for 92,42,123 is 1.
Thus, LCM of Fractions is 7888.Finally, LCM of Fractions for 34/92, 29/42, 16/123 is 7888.