Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/176, 47/437, 319/833 quickly i.e. 1439328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/176, 47/437, 319/833 is 1439328.
LCM(96/176, 47/437, 319/833) = 1439328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/176,47/437,319/833
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 96,47,319
Least Common Multiple of Numerators i.e. LCM of 96,47,319 is 1439328.
GCF of Denominators means GCF of 176,437,833 as per the given fractions.
GCF of 176,437,833 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,47,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 1439328
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 96,47,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,47,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,47,319) x common factors =1 x 1 = 1
LCM(96,47,319) = ( 96 × 47 × 319 ) / 1
LCM(96,47,319) = 1439328 / 1
LCM(96,47,319) = 1439328
Lets's calculate GCF of 176,437,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1439328/1
Therefore the LCM of Fractions 96/176,47/437,319/833 is 1439328
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 176,437,833 . The biggest common factor number is the GCF number.
So the greatest common factor 176,437,833 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 96/176, 47/437, 319/833?
Answer: LCM of Numerators as per given numbers 96/176, 47/437, 319/833 is
LCM of Numerators i.e. for 96,47,319 is 1439328
GCF of denominators i.e. for 176,437,833 is 1.
Thus, LCM of Fractions is 1439328.Finally, LCM of Fractions for 96/176, 47/437, 319/833 is 1439328.