Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6382/98, 5018/779 quickly i.e. 16012438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6382/98, 5018/779 is 16012438.
LCM(6382/98, 5018/779) = 16012438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6382/98,5018/779
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 6382,5018
Least Common Multiple of Numerators i.e. LCM of 6382,5018 is 16012438.
GCF of Denominators means GCF of 98,779 as per the given fractions.
GCF of 98,779 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6382,5018
2 | 6382, 5018 |
3191, 2509 |
∴ So the LCM of the given numbers is 2 x 3191 x 2509 = 16012438
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 6382,5018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6382,5018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6382,5018) x common factors =2 x 1 = 2
LCM(6382,5018) = ( 6382 × 5018 ) / 2
LCM(6382,5018) = 32024876 / 2
LCM(6382,5018) = 16012438
Lets's calculate GCF of 98,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16012438/1
Therefore the LCM of Fractions 6382/98,5018/779 is 16012438
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 98,779 . The biggest common factor number is the GCF number.
So the greatest common factor 98,779 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 6382/98, 5018/779?
Answer: LCM of Numerators as per given numbers 6382/98, 5018/779 is
LCM of Numerators i.e. for 6382,5018 is 16012438
GCF of denominators i.e. for 98,779 is 1.
Thus, LCM of Fractions is 16012438.Finally, LCM of Fractions for 6382/98, 5018/779 is 16012438.