Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1978/43, 3399/627 quickly i.e. 6723222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1978/43, 3399/627 is 6723222.
LCM(1978/43, 3399/627) = 6723222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1978/43,3399/627
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 1978,3399
Least Common Multiple of Numerators i.e. LCM of 1978,3399 is 6723222.
GCF of Denominators means GCF of 43,627 as per the given fractions.
GCF of 43,627 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1978,3399
Given numbers has no common factors except 1. So, there LCM is their product i.e 6723222
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 1978,3399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1978,3399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1978,3399) x common factors =1 x 1 = 1
LCM(1978,3399) = ( 1978 × 3399 ) / 1
LCM(1978,3399) = 6723222 / 1
LCM(1978,3399) = 6723222
Lets's calculate GCF of 43,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6723222/1
Therefore the LCM of Fractions 1978/43,3399/627 is 6723222
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 43,627 . The biggest common factor number is the GCF number.
So the greatest common factor 43,627 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 1978/43, 3399/627?
Answer: LCM of Numerators as per given numbers 1978/43, 3399/627 is
LCM of Numerators i.e. for 1978,3399 is 6723222
GCF of denominators i.e. for 43,627 is 1.
Thus, LCM of Fractions is 6723222.Finally, LCM of Fractions for 1978/43, 3399/627 is 6723222.