Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/270, 73/654, 603/539 quickly i.e. 3389463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/270, 73/654, 603/539 is 3389463.
LCM(77/270, 73/654, 603/539) = 3389463
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/270,73/654,603/539
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 77,73,603
Least Common Multiple of Numerators i.e. LCM of 77,73,603 is 3389463.
GCF of Denominators means GCF of 270,654,539 as per the given fractions.
GCF of 270,654,539 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,73,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 3389463
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 77,73,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,73,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,73,603) x common factors =1 x 1 = 1
LCM(77,73,603) = ( 77 × 73 × 603 ) / 1
LCM(77,73,603) = 3389463 / 1
LCM(77,73,603) = 3389463
Lets's calculate GCF of 270,654,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3389463/1
Therefore the LCM of Fractions 77/270,73/654,603/539 is 3389463
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 270,654,539 . The biggest common factor number is the GCF number.
So the greatest common factor 270,654,539 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 77/270, 73/654, 603/539?
Answer: LCM of Numerators as per given numbers 77/270, 73/654, 603/539 is
LCM of Numerators i.e. for 77,73,603 is 3389463
GCF of denominators i.e. for 270,654,539 is 1.
Thus, LCM of Fractions is 3389463.Finally, LCM of Fractions for 77/270, 73/654, 603/539 is 3389463.