Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/42, 25/46, 55/13, 32/124 quickly i.e. 8800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/42, 25/46, 55/13, 32/124 is 8800.
LCM(80/42, 25/46, 55/13, 32/124) = 8800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/42,25/46,55/13,32/124
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 80,25,55,32
Least Common Multiple of Numerators i.e. LCM of 80,25,55,32 is 8800.
GCF of Denominators means GCF of 42,46,13,124 as per the given fractions.
GCF of 42,46,13,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,25,55,32
2 | 80, 25, 55, 32 |
2 | 40, 25, 55, 16 |
2 | 20, 25, 55, 8 |
2 | 10, 25, 55, 4 |
5 | 5, 25, 55, 2 |
1, 5, 11, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 5 x 11 x 2 = 8800
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 80,25,55,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,25,55,32) = 1
common factors(in case of two or more numbers have common factors) = 400
GCF(80,25,55,32) x common factors =1 x 400 = 400
LCM(80,25,55,32) = ( 80 × 25 × 55 × 32 ) / 400
LCM(80,25,55,32) = 3520000 / 400
LCM(80,25,55,32) = 8800
Lets's calculate GCF of 42,46,13,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8800/1
Therefore the LCM of Fractions 80/42,25/46,55/13,32/124 is 8800
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 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 42,46,13,124 . The biggest common factor number is the GCF number.
So the greatest common factor 42,46,13,124 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 80/42, 25/46, 55/13, 32/124?
Answer: LCM of Numerators as per given numbers 80/42, 25/46, 55/13, 32/124 is
LCM of Numerators i.e. for 80,25,55,32 is 8800
GCF of denominators i.e. for 42,46,13,124 is 1.
Thus, LCM of Fractions is 8800.Finally, LCM of Fractions for 80/42, 25/46, 55/13, 32/124 is 8800.