Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/65, 461/56, 404/384 quickly i.e. 155886228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/65, 461/56, 404/384 is 155886228.
LCM(837/65, 461/56, 404/384) = 155886228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/65,461/56,404/384
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 837,461,404
Least Common Multiple of Numerators i.e. LCM of 837,461,404 is 155886228.
GCF of Denominators means GCF of 65,56,384 as per the given fractions.
GCF of 65,56,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,461,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 155886228
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 837,461,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,461,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,461,404) x common factors =1 x 1 = 1
LCM(837,461,404) = ( 837 × 461 × 404 ) / 1
LCM(837,461,404) = 155886228 / 1
LCM(837,461,404) = 155886228
Lets's calculate GCF of 65,56,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155886228/1
Therefore the LCM of Fractions 837/65,461/56,404/384 is 155886228
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 65,56,384 . The biggest common factor number is the GCF number.
So the greatest common factor 65,56,384 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 837/65, 461/56, 404/384?
Answer: LCM of Numerators as per given numbers 837/65, 461/56, 404/384 is
LCM of Numerators i.e. for 837,461,404 is 155886228
GCF of denominators i.e. for 65,56,384 is 1.
Thus, LCM of Fractions is 155886228.Finally, LCM of Fractions for 837/65, 461/56, 404/384 is 155886228.