Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9778/261, 6418/662 quickly i.e. 31377602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9778/261, 6418/662 is 31377602.
LCM(9778/261, 6418/662) = 31377602
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9778/261,6418/662
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 9778,6418
Least Common Multiple of Numerators i.e. LCM of 9778,6418 is 31377602.
GCF of Denominators means GCF of 261,662 as per the given fractions.
GCF of 261,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9778,6418
2 | 9778, 6418 |
4889, 3209 |
∴ So the LCM of the given numbers is 2 x 4889 x 3209 = 31377602
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 9778,6418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9778,6418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9778,6418) x common factors =2 x 1 = 2
LCM(9778,6418) = ( 9778 × 6418 ) / 2
LCM(9778,6418) = 62755204 / 2
LCM(9778,6418) = 31377602
Lets's calculate GCF of 261,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31377602/1
Therefore the LCM of Fractions 9778/261,6418/662 is 31377602
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 261,662 . The biggest common factor number is the GCF number.
So the greatest common factor 261,662 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 9778/261, 6418/662?
Answer: LCM of Numerators as per given numbers 9778/261, 6418/662 is
LCM of Numerators i.e. for 9778,6418 is 31377602
GCF of denominators i.e. for 261,662 is 1.
Thus, LCM of Fractions is 31377602.Finally, LCM of Fractions for 9778/261, 6418/662 is 31377602.