Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/30, 10/80, 497/754 quickly i.e. 39760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/30, 10/80, 497/754 is 39760.
LCM(32/30, 10/80, 497/754) = 39760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/30,10/80,497/754
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 32,10,497
Least Common Multiple of Numerators i.e. LCM of 32,10,497 is 79520.
GCF of Denominators means GCF of 30,80,754 as per the given fractions.
GCF of 30,80,754 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,10,497
2 | 32, 10, 497 |
16, 5, 497 |
∴ So the LCM of the given numbers is 2 x 16 x 5 x 497 = 79520
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 32,10,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,10,497) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,10,497) x common factors =1 x 2 = 2
LCM(32,10,497) = ( 32 × 10 × 497 ) / 2
LCM(32,10,497) = 159040 / 2
LCM(32,10,497) = 79520
Lets's calculate GCF of 30,80,754
2 | 30, 80, 754 |
15, 40, 377 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79520/2
Therefore the LCM of Fractions 32/30,10/80,497/754 is 39760
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 30,80,754 . The biggest common factor number is the GCF number.
So the greatest common factor 30,80,754 is 2.
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 32/30, 10/80, 497/754?
Answer: LCM of Numerators as per given numbers 32/30, 10/80, 497/754 is
LCM of Numerators i.e. for 32,10,497 is 79520
GCF of denominators i.e. for 30,80,754 is 2.
Thus, LCM of Fractions is 39760.Finally, LCM of Fractions for 32/30, 10/80, 497/754 is 39760.