Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/604, 427/750, 457/341 quickly i.e. 14440286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/604, 427/750, 457/341 is 14440286.
LCM(74/604, 427/750, 457/341) = 14440286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/604,427/750,457/341
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 74,427,457
Least Common Multiple of Numerators i.e. LCM of 74,427,457 is 14440286.
GCF of Denominators means GCF of 604,750,341 as per the given fractions.
GCF of 604,750,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,427,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 14440286
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 74,427,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,427,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,427,457) x common factors =1 x 1 = 1
LCM(74,427,457) = ( 74 × 427 × 457 ) / 1
LCM(74,427,457) = 14440286 / 1
LCM(74,427,457) = 14440286
Lets's calculate GCF of 604,750,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14440286/1
Therefore the LCM of Fractions 74/604,427/750,457/341 is 14440286
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 604,750,341 . The biggest common factor number is the GCF number.
So the greatest common factor 604,750,341 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 74/604, 427/750, 457/341?
Answer: LCM of Numerators as per given numbers 74/604, 427/750, 457/341 is
LCM of Numerators i.e. for 74,427,457 is 14440286
GCF of denominators i.e. for 604,750,341 is 1.
Thus, LCM of Fractions is 14440286.Finally, LCM of Fractions for 74/604, 427/750, 457/341 is 14440286.