Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 105/596, 1203/170 quickly i.e. 42105/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 105/596, 1203/170 is 42105/2.
LCM(105/596, 1203/170) = 42105/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 105/596,1203/170
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 105,1203
Least Common Multiple of Numerators i.e. LCM of 105,1203 is 42105.
GCF of Denominators means GCF of 596,170 as per the given fractions.
GCF of 596,170 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 105,1203
3 | 105, 1203 |
35, 401 |
∴ So the LCM of the given numbers is 3 x 35 x 401 = 42105
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 105,1203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,1203) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,1203) x common factors =3 x 1 = 3
LCM(105,1203) = ( 105 × 1203 ) / 3
LCM(105,1203) = 126315 / 3
LCM(105,1203) = 42105
Lets's calculate GCF of 596,170
2 | 596, 170 |
298, 85 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42105/2
Therefore the LCM of Fractions 105/596,1203/170 is 42105/2
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 596,170 . The biggest common factor number is the GCF number.
So the greatest common factor 596,170 is 2.
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 105/596, 1203/170?
Answer: LCM of Numerators as per given numbers 105/596, 1203/170 is
LCM of Numerators i.e. for 105,1203 is 42105
GCF of denominators i.e. for 596,170 is 2.
Thus, LCM of Fractions is 42105/2.Finally, LCM of Fractions for 105/596, 1203/170 is 42105/2.