Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/579, 51/297, 42/459 quickly i.e. 238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/579, 51/297, 42/459 is 238.
LCM(7/579, 51/297, 42/459) = 238
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/579,51/297,42/459
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 7,51,42
Least Common Multiple of Numerators i.e. LCM of 7,51,42 is 714.
GCF of Denominators means GCF of 579,297,459 as per the given fractions.
GCF of 579,297,459 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,51,42
3 | 7, 51, 42 |
7 | 7, 17, 14 |
1, 17, 2 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 17 x 2 = 714
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 7,51,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,51,42) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(7,51,42) x common factors =1 x 21 = 21
LCM(7,51,42) = ( 7 × 51 × 42 ) / 21
LCM(7,51,42) = 14994 / 21
LCM(7,51,42) = 714
Lets's calculate GCF of 579,297,459
3 | 579, 297, 459 |
193, 99, 153 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714/3
Therefore the LCM of Fractions 7/579,51/297,42/459 is 238
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 579,297,459 . The biggest common factor number is the GCF number.
So the greatest common factor 579,297,459 is 3.
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 7/579, 51/297, 42/459?
Answer: LCM of Numerators as per given numbers 7/579, 51/297, 42/459 is
LCM of Numerators i.e. for 7,51,42 is 714
GCF of denominators i.e. for 579,297,459 is 3.
Thus, LCM of Fractions is 238.Finally, LCM of Fractions for 7/579, 51/297, 42/459 is 238.