Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 908/40, 778/7821 quickly i.e. 353212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 908/40, 778/7821 is 353212.
LCM(908/40, 778/7821) = 353212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 908/40,778/7821
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 908,778
Least Common Multiple of Numerators i.e. LCM of 908,778 is 353212.
GCF of Denominators means GCF of 40,7821 as per the given fractions.
GCF of 40,7821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 908,778
2 | 908, 778 |
454, 389 |
∴ So the LCM of the given numbers is 2 x 454 x 389 = 353212
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 908,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(908,778) x common factors =2 x 1 = 2
LCM(908,778) = ( 908 × 778 ) / 2
LCM(908,778) = 706424 / 2
LCM(908,778) = 353212
Lets's calculate GCF of 40,7821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353212/1
Therefore the LCM of Fractions 908/40,778/7821 is 353212
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 7821
List of positive integer factors of 7821 that divides 7821 without a remainder.
1,3,9,11,33,79,99,237,711,869,2607,7821
Greatest Common Factor
We found the factors 40,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7821 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 908/40, 778/7821?
Answer: LCM of Numerators as per given numbers 908/40, 778/7821 is
LCM of Numerators i.e. for 908,778 is 353212
GCF of denominators i.e. for 40,7821 is 1.
Thus, LCM of Fractions is 353212.Finally, LCM of Fractions for 908/40, 778/7821 is 353212.