Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/414, 692/933, 703/529 quickly i.e. 142537468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/414, 692/933, 703/529 is 142537468.
LCM(293/414, 692/933, 703/529) = 142537468
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/414,692/933,703/529
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 293,692,703
Least Common Multiple of Numerators i.e. LCM of 293,692,703 is 142537468.
GCF of Denominators means GCF of 414,933,529 as per the given fractions.
GCF of 414,933,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,692,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 142537468
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 293,692,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,692,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,692,703) x common factors =1 x 1 = 1
LCM(293,692,703) = ( 293 × 692 × 703 ) / 1
LCM(293,692,703) = 142537468 / 1
LCM(293,692,703) = 142537468
Lets's calculate GCF of 414,933,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142537468/1
Therefore the LCM of Fractions 293/414,692/933,703/529 is 142537468
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 414,933,529 . The biggest common factor number is the GCF number.
So the greatest common factor 414,933,529 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 293/414, 692/933, 703/529?
Answer: LCM of Numerators as per given numbers 293/414, 692/933, 703/529 is
LCM of Numerators i.e. for 293,692,703 is 142537468
GCF of denominators i.e. for 414,933,529 is 1.
Thus, LCM of Fractions is 142537468.Finally, LCM of Fractions for 293/414, 692/933, 703/529 is 142537468.