Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/272, 341/198, 952/964 quickly i.e. 15420020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/272, 341/198, 952/964 is 15420020.
LCM(95/272, 341/198, 952/964) = 15420020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/272,341/198,952/964
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 95,341,952
Least Common Multiple of Numerators i.e. LCM of 95,341,952 is 30840040.
GCF of Denominators means GCF of 272,198,964 as per the given fractions.
GCF of 272,198,964 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,341,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 30840040
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 95,341,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,341,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,341,952) x common factors =1 x 1 = 1
LCM(95,341,952) = ( 95 × 341 × 952 ) / 1
LCM(95,341,952) = 30840040 / 1
LCM(95,341,952) = 30840040
Lets's calculate GCF of 272,198,964
2 | 272, 198, 964 |
136, 99, 482 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30840040/2
Therefore the LCM of Fractions 95/272,341/198,952/964 is 15420020
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 272,198,964 . The biggest common factor number is the GCF number.
So the greatest common factor 272,198,964 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 95/272, 341/198, 952/964?
Answer: LCM of Numerators as per given numbers 95/272, 341/198, 952/964 is
LCM of Numerators i.e. for 95,341,952 is 30840040
GCF of denominators i.e. for 272,198,964 is 2.
Thus, LCM of Fractions is 15420020.Finally, LCM of Fractions for 95/272, 341/198, 952/964 is 15420020.