Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2163/952, 9145/380 quickly i.e. 19780635/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2163/952, 9145/380 is 19780635/4.
LCM(2163/952, 9145/380) = 19780635/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2163/952,9145/380
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 2163,9145
Least Common Multiple of Numerators i.e. LCM of 2163,9145 is 19780635.
GCF of Denominators means GCF of 952,380 as per the given fractions.
GCF of 952,380 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2163,9145
Given numbers has no common factors except 1. So, there LCM is their product i.e 19780635
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 2163,9145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2163,9145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2163,9145) x common factors =1 x 1 = 1
LCM(2163,9145) = ( 2163 × 9145 ) / 1
LCM(2163,9145) = 19780635 / 1
LCM(2163,9145) = 19780635
Lets's calculate GCF of 952,380
2 | 952, 380 |
2 | 476, 190 |
238, 95 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19780635/4
Therefore the LCM of Fractions 2163/952,9145/380 is 19780635/4
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 952,380 . The biggest common factor number is the GCF number.
So the greatest common factor 952,380 is 4.
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 2163/952, 9145/380?
Answer: LCM of Numerators as per given numbers 2163/952, 9145/380 is
LCM of Numerators i.e. for 2163,9145 is 19780635
GCF of denominators i.e. for 952,380 is 4.
Thus, LCM of Fractions is 19780635/4.Finally, LCM of Fractions for 2163/952, 9145/380 is 19780635/4.