Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 274/600, 465/761, 395/927 quickly i.e. 10065390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 274/600, 465/761, 395/927 is 10065390.
LCM(274/600, 465/761, 395/927) = 10065390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 274/600,465/761,395/927
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 274,465,395
Least Common Multiple of Numerators i.e. LCM of 274,465,395 is 10065390.
GCF of Denominators means GCF of 600,761,927 as per the given fractions.
GCF of 600,761,927 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 274,465,395
5 | 274, 465, 395 |
274, 93, 79 |
∴ So the LCM of the given numbers is 5 x 274 x 93 x 79 = 10065390
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 274,465,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,465,395) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(274,465,395) x common factors =1 x 5 = 5
LCM(274,465,395) = ( 274 × 465 × 395 ) / 5
LCM(274,465,395) = 50326950 / 5
LCM(274,465,395) = 10065390
Lets's calculate GCF of 600,761,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10065390/1
Therefore the LCM of Fractions 274/600,465/761,395/927 is 10065390
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Greatest Common Factor
We found the factors 600,761,927 . The biggest common factor number is the GCF number.
So the greatest common factor 600,761,927 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 274/600, 465/761, 395/927?
Answer: LCM of Numerators as per given numbers 274/600, 465/761, 395/927 is
LCM of Numerators i.e. for 274,465,395 is 10065390
GCF of denominators i.e. for 600,761,927 is 1.
Thus, LCM of Fractions is 10065390.Finally, LCM of Fractions for 274/600, 465/761, 395/927 is 10065390.