Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/165, 223/178, 640/426 quickly i.e. 428160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/165, 223/178, 640/426 is 428160.
LCM(30/165, 223/178, 640/426) = 428160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/165,223/178,640/426
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 30,223,640
Least Common Multiple of Numerators i.e. LCM of 30,223,640 is 428160.
GCF of Denominators means GCF of 165,178,426 as per the given fractions.
GCF of 165,178,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,223,640
2 | 30, 223, 640 |
5 | 15, 223, 320 |
3, 223, 64 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 223 x 64 = 428160
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 30,223,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,223,640) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(30,223,640) x common factors =1 x 10 = 10
LCM(30,223,640) = ( 30 × 223 × 640 ) / 10
LCM(30,223,640) = 4281600 / 10
LCM(30,223,640) = 428160
Lets's calculate GCF of 165,178,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428160/1
Therefore the LCM of Fractions 30/165,223/178,640/426 is 428160
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 165,178,426 . The biggest common factor number is the GCF number.
So the greatest common factor 165,178,426 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 30/165, 223/178, 640/426?
Answer: LCM of Numerators as per given numbers 30/165, 223/178, 640/426 is
LCM of Numerators i.e. for 30,223,640 is 428160
GCF of denominators i.e. for 165,178,426 is 1.
Thus, LCM of Fractions is 428160.Finally, LCM of Fractions for 30/165, 223/178, 640/426 is 428160.