Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 542/791, 7024/470 quickly i.e. 1903504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 542/791, 7024/470 is 1903504.
LCM(542/791, 7024/470) = 1903504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 542/791,7024/470
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 542,7024
Least Common Multiple of Numerators i.e. LCM of 542,7024 is 1903504.
GCF of Denominators means GCF of 791,470 as per the given fractions.
GCF of 791,470 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 542,7024
2 | 542, 7024 |
271, 3512 |
∴ So the LCM of the given numbers is 2 x 271 x 3512 = 1903504
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 542,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,7024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,7024) x common factors =2 x 1 = 2
LCM(542,7024) = ( 542 × 7024 ) / 2
LCM(542,7024) = 3807008 / 2
LCM(542,7024) = 1903504
Lets's calculate GCF of 791,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1903504/1
Therefore the LCM of Fractions 542/791,7024/470 is 1903504
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 791,470 . The biggest common factor number is the GCF number.
So the greatest common factor 791,470 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 542/791, 7024/470?
Answer: LCM of Numerators as per given numbers 542/791, 7024/470 is
LCM of Numerators i.e. for 542,7024 is 1903504
GCF of denominators i.e. for 791,470 is 1.
Thus, LCM of Fractions is 1903504.Finally, LCM of Fractions for 542/791, 7024/470 is 1903504.