Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6389/774, 9757/2203 quickly i.e. 62337473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6389/774, 9757/2203 is 62337473.
LCM(6389/774, 9757/2203) = 62337473
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6389/774,9757/2203
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 6389,9757
Least Common Multiple of Numerators i.e. LCM of 6389,9757 is 62337473.
GCF of Denominators means GCF of 774,2203 as per the given fractions.
GCF of 774,2203 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6389,9757
Given numbers has no common factors except 1. So, there LCM is their product i.e 62337473
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 6389,9757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6389,9757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6389,9757) x common factors =1 x 1 = 1
LCM(6389,9757) = ( 6389 × 9757 ) / 1
LCM(6389,9757) = 62337473 / 1
LCM(6389,9757) = 62337473
Lets's calculate GCF of 774,2203
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62337473/1
Therefore the LCM of Fractions 6389/774,9757/2203 is 62337473
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 2203
List of positive integer factors of 2203 that divides 2203 without a remainder.
1,2203
Greatest Common Factor
We found the factors 774,2203 . The biggest common factor number is the GCF number.
So the greatest common factor 774,2203 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 6389/774, 9757/2203?
Answer: LCM of Numerators as per given numbers 6389/774, 9757/2203 is
LCM of Numerators i.e. for 6389,9757 is 62337473
GCF of denominators i.e. for 774,2203 is 1.
Thus, LCM of Fractions is 62337473.Finally, LCM of Fractions for 6389/774, 9757/2203 is 62337473.