Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/462, 894/787 quickly i.e. 261942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/462, 894/787 is 261942.
LCM(293/462, 894/787) = 261942
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/462,894/787
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 293,894
Least Common Multiple of Numerators i.e. LCM of 293,894 is 261942.
GCF of Denominators means GCF of 462,787 as per the given fractions.
GCF of 462,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,894
Given numbers has no common factors except 1. So, there LCM is their product i.e 261942
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 293,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,894) x common factors =1 x 1 = 1
LCM(293,894) = ( 293 × 894 ) / 1
LCM(293,894) = 261942 / 1
LCM(293,894) = 261942
Lets's calculate GCF of 462,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261942/1
Therefore the LCM of Fractions 293/462,894/787 is 261942
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 462,787 . The biggest common factor number is the GCF number.
So the greatest common factor 462,787 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 293/462, 894/787?
Answer: LCM of Numerators as per given numbers 293/462, 894/787 is
LCM of Numerators i.e. for 293,894 is 261942
GCF of denominators i.e. for 462,787 is 1.
Thus, LCM of Fractions is 261942.Finally, LCM of Fractions for 293/462, 894/787 is 261942.