Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/18, 90/64, 338/776 quickly i.e. 327015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/18, 90/64, 338/776 is 327015.
LCM(43/18, 90/64, 338/776) = 327015
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/18,90/64,338/776
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 43,90,338
Least Common Multiple of Numerators i.e. LCM of 43,90,338 is 654030.
GCF of Denominators means GCF of 18,64,776 as per the given fractions.
GCF of 18,64,776 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,90,338
2 | 43, 90, 338 |
43, 45, 169 |
∴ So the LCM of the given numbers is 2 x 43 x 45 x 169 = 654030
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 43,90,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,90,338) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,90,338) x common factors =1 x 2 = 2
LCM(43,90,338) = ( 43 × 90 × 338 ) / 2
LCM(43,90,338) = 1308060 / 2
LCM(43,90,338) = 654030
Lets's calculate GCF of 18,64,776
2 | 18, 64, 776 |
9, 32, 388 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654030/2
Therefore the LCM of Fractions 43/18,90/64,338/776 is 327015
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 18,64,776 . The biggest common factor number is the GCF number.
So the greatest common factor 18,64,776 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 43/18, 90/64, 338/776?
Answer: LCM of Numerators as per given numbers 43/18, 90/64, 338/776 is
LCM of Numerators i.e. for 43,90,338 is 654030
GCF of denominators i.e. for 18,64,776 is 2.
Thus, LCM of Fractions is 327015.Finally, LCM of Fractions for 43/18, 90/64, 338/776 is 327015.