Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/55, 462/6785 quickly i.e. 215292/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/55, 462/6785 is 215292/5.
LCM(932/55, 462/6785) = 215292/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/55,462/6785
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 932,462
Least Common Multiple of Numerators i.e. LCM of 932,462 is 215292.
GCF of Denominators means GCF of 55,6785 as per the given fractions.
GCF of 55,6785 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,462
2 | 932, 462 |
466, 231 |
∴ So the LCM of the given numbers is 2 x 466 x 231 = 215292
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 932,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,462) x common factors =2 x 1 = 2
LCM(932,462) = ( 932 × 462 ) / 2
LCM(932,462) = 430584 / 2
LCM(932,462) = 215292
Lets's calculate GCF of 55,6785
5 | 55, 6785 |
11, 1357 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215292/5
Therefore the LCM of Fractions 932/55,462/6785 is 215292/5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 6785
List of positive integer factors of 6785 that divides 6785 without a remainder.
1,5,23,59,115,295,1357,6785
Greatest Common Factor
We found the factors 55,6785 . The biggest common factor number is the GCF number.
So the greatest common factor 55,6785 is 5.
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 932/55, 462/6785?
Answer: LCM of Numerators as per given numbers 932/55, 462/6785 is
LCM of Numerators i.e. for 932,462 is 215292
GCF of denominators i.e. for 55,6785 is 5.
Thus, LCM of Fractions is 215292/5.Finally, LCM of Fractions for 932/55, 462/6785 is 215292/5.