Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 853/14, 649/1804 quickly i.e. 553597/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 853/14, 649/1804 is 553597/2.
LCM(853/14, 649/1804) = 553597/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 853/14,649/1804
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 853,649
Least Common Multiple of Numerators i.e. LCM of 853,649 is 553597.
GCF of Denominators means GCF of 14,1804 as per the given fractions.
GCF of 14,1804 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 853,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 553597
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 853,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,649) x common factors =1 x 1 = 1
LCM(853,649) = ( 853 × 649 ) / 1
LCM(853,649) = 553597 / 1
LCM(853,649) = 553597
Lets's calculate GCF of 14,1804
2 | 14, 1804 |
7, 902 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553597/2
Therefore the LCM of Fractions 853/14,649/1804 is 553597/2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1,2,4,11,22,41,44,82,164,451,902,1804
Greatest Common Factor
We found the factors 14,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1804 is 2.
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 853/14, 649/1804?
Answer: LCM of Numerators as per given numbers 853/14, 649/1804 is
LCM of Numerators i.e. for 853,649 is 553597
GCF of denominators i.e. for 14,1804 is 2.
Thus, LCM of Fractions is 553597/2.Finally, LCM of Fractions for 853/14, 649/1804 is 553597/2.