Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/92, 91/13, 92/156 quickly i.e. 242788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/92, 91/13, 92/156 is 242788.
LCM(58/92, 91/13, 92/156) = 242788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/92,91/13,92/156
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 58,91,92
Least Common Multiple of Numerators i.e. LCM of 58,91,92 is 242788.
GCF of Denominators means GCF of 92,13,156 as per the given fractions.
GCF of 92,13,156 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,91,92
2 | 58, 91, 92 |
29, 91, 46 |
∴ So the LCM of the given numbers is 2 x 29 x 91 x 46 = 242788
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 58,91,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,91,92) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,91,92) x common factors =1 x 2 = 2
LCM(58,91,92) = ( 58 × 91 × 92 ) / 2
LCM(58,91,92) = 485576 / 2
LCM(58,91,92) = 242788
Lets's calculate GCF of 92,13,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242788/1
Therefore the LCM of Fractions 58/92,91/13,92/156 is 242788
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 92,13,156 . The biggest common factor number is the GCF number.
So the greatest common factor 92,13,156 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 58/92, 91/13, 92/156?
Answer: LCM of Numerators as per given numbers 58/92, 91/13, 92/156 is
LCM of Numerators i.e. for 58,91,92 is 242788
GCF of denominators i.e. for 92,13,156 is 1.
Thus, LCM of Fractions is 242788.Finally, LCM of Fractions for 58/92, 91/13, 92/156 is 242788.