Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 338/629, 735/278 quickly i.e. 248430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 338/629, 735/278 is 248430.
LCM(338/629, 735/278) = 248430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 338/629,735/278
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 338,735
Least Common Multiple of Numerators i.e. LCM of 338,735 is 248430.
GCF of Denominators means GCF of 629,278 as per the given fractions.
GCF of 629,278 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 338,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 248430
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 338,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,735) x common factors =1 x 1 = 1
LCM(338,735) = ( 338 × 735 ) / 1
LCM(338,735) = 248430 / 1
LCM(338,735) = 248430
Lets's calculate GCF of 629,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248430/1
Therefore the LCM of Fractions 338/629,735/278 is 248430
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 629,278 . The biggest common factor number is the GCF number.
So the greatest common factor 629,278 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 338/629, 735/278?
Answer: LCM of Numerators as per given numbers 338/629, 735/278 is
LCM of Numerators i.e. for 338,735 is 248430
GCF of denominators i.e. for 629,278 is 1.
Thus, LCM of Fractions is 248430.Finally, LCM of Fractions for 338/629, 735/278 is 248430.