Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/31, 908/50, 833/896 quickly i.e. 509032972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/31, 908/50, 833/896 is 509032972.
LCM(673/31, 908/50, 833/896) = 509032972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/31,908/50,833/896
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 673,908,833
Least Common Multiple of Numerators i.e. LCM of 673,908,833 is 509032972.
GCF of Denominators means GCF of 31,50,896 as per the given fractions.
GCF of 31,50,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,908,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 509032972
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 673,908,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,908,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,908,833) x common factors =1 x 1 = 1
LCM(673,908,833) = ( 673 × 908 × 833 ) / 1
LCM(673,908,833) = 509032972 / 1
LCM(673,908,833) = 509032972
Lets's calculate GCF of 31,50,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509032972/1
Therefore the LCM of Fractions 673/31,908/50,833/896 is 509032972
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 31,50,896 . The biggest common factor number is the GCF number.
So the greatest common factor 31,50,896 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 673/31, 908/50, 833/896?
Answer: LCM of Numerators as per given numbers 673/31, 908/50, 833/896 is
LCM of Numerators i.e. for 673,908,833 is 509032972
GCF of denominators i.e. for 31,50,896 is 1.
Thus, LCM of Fractions is 509032972.Finally, LCM of Fractions for 673/31, 908/50, 833/896 is 509032972.