Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 875/35, 168/10, 195/38 quickly i.e. 273000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 875/35, 168/10, 195/38 is 273000.
LCM(875/35, 168/10, 195/38) = 273000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 875/35,168/10,195/38
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 875,168,195
Least Common Multiple of Numerators i.e. LCM of 875,168,195 is 273000.
GCF of Denominators means GCF of 35,10,38 as per the given fractions.
GCF of 35,10,38 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 875,168,195
3 | 875, 168, 195 |
5 | 875, 56, 65 |
7 | 175, 56, 13 |
25, 8, 13 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 25 x 8 x 13 = 273000
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 875,168,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,168,195) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(875,168,195) x common factors =1 x 105 = 105
LCM(875,168,195) = ( 875 × 168 × 195 ) / 105
LCM(875,168,195) = 28665000 / 105
LCM(875,168,195) = 273000
Lets's calculate GCF of 35,10,38
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273000/1
Therefore the LCM of Fractions 875/35,168/10,195/38 is 273000
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Greatest Common Factor
We found the factors 35,10,38 . The biggest common factor number is the GCF number.
So the greatest common factor 35,10,38 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 875/35, 168/10, 195/38?
Answer: LCM of Numerators as per given numbers 875/35, 168/10, 195/38 is
LCM of Numerators i.e. for 875,168,195 is 273000
GCF of denominators i.e. for 35,10,38 is 1.
Thus, LCM of Fractions is 273000.Finally, LCM of Fractions for 875/35, 168/10, 195/38 is 273000.