Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/119, 574/311, 322/829 quickly i.e. 488474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/119, 574/311, 322/829 is 488474.
LCM(74/119, 574/311, 322/829) = 488474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/119,574/311,322/829
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 74,574,322
Least Common Multiple of Numerators i.e. LCM of 74,574,322 is 488474.
GCF of Denominators means GCF of 119,311,829 as per the given fractions.
GCF of 119,311,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,574,322
2 | 74, 574, 322 |
7 | 37, 287, 161 |
37, 41, 23 |
∴ So the LCM of the given numbers is 2 x 7 x 37 x 41 x 23 = 488474
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 74,574,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,574,322) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(74,574,322) x common factors =2 x 14 = 28
LCM(74,574,322) = ( 74 × 574 × 322 ) / 28
LCM(74,574,322) = 13677272 / 28
LCM(74,574,322) = 488474
Lets's calculate GCF of 119,311,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488474/1
Therefore the LCM of Fractions 74/119,574/311,322/829 is 488474
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 119,311,829 . The biggest common factor number is the GCF number.
So the greatest common factor 119,311,829 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 74/119, 574/311, 322/829?
Answer: LCM of Numerators as per given numbers 74/119, 574/311, 322/829 is
LCM of Numerators i.e. for 74,574,322 is 488474
GCF of denominators i.e. for 119,311,829 is 1.
Thus, LCM of Fractions is 488474.Finally, LCM of Fractions for 74/119, 574/311, 322/829 is 488474.