Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 357/579, 2293/156 quickly i.e. 272867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 357/579, 2293/156 is 272867.
LCM(357/579, 2293/156) = 272867
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 357/579,2293/156
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 357,2293
Least Common Multiple of Numerators i.e. LCM of 357,2293 is 818601.
GCF of Denominators means GCF of 579,156 as per the given fractions.
GCF of 579,156 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 357,2293
Given numbers has no common factors except 1. So, there LCM is their product i.e 818601
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 357,2293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,2293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,2293) x common factors =1 x 1 = 1
LCM(357,2293) = ( 357 × 2293 ) / 1
LCM(357,2293) = 818601 / 1
LCM(357,2293) = 818601
Lets's calculate GCF of 579,156
3 | 579, 156 |
193, 52 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 818601/3
Therefore the LCM of Fractions 357/579,2293/156 is 272867
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 579,156 . The biggest common factor number is the GCF number.
So the greatest common factor 579,156 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 357/579, 2293/156?
Answer: LCM of Numerators as per given numbers 357/579, 2293/156 is
LCM of Numerators i.e. for 357,2293 is 818601
GCF of denominators i.e. for 579,156 is 3.
Thus, LCM of Fractions is 272867.Finally, LCM of Fractions for 357/579, 2293/156 is 272867.