Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/672, 488/905, 923/178 quickly i.e. 18467384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/672, 488/905, 923/178 is 18467384.
LCM(82/672, 488/905, 923/178) = 18467384
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/672,488/905,923/178
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 82,488,923
Least Common Multiple of Numerators i.e. LCM of 82,488,923 is 18467384.
GCF of Denominators means GCF of 672,905,178 as per the given fractions.
GCF of 672,905,178 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,488,923
2 | 82, 488, 923 |
41, 244, 923 |
∴ So the LCM of the given numbers is 2 x 41 x 244 x 923 = 18467384
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 82,488,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,488,923) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,488,923) x common factors =1 x 2 = 2
LCM(82,488,923) = ( 82 × 488 × 923 ) / 2
LCM(82,488,923) = 36934768 / 2
LCM(82,488,923) = 18467384
Lets's calculate GCF of 672,905,178
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18467384/1
Therefore the LCM of Fractions 82/672,488/905,923/178 is 18467384
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 672,905,178 . The biggest common factor number is the GCF number.
So the greatest common factor 672,905,178 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 82/672, 488/905, 923/178?
Answer: LCM of Numerators as per given numbers 82/672, 488/905, 923/178 is
LCM of Numerators i.e. for 82,488,923 is 18467384
GCF of denominators i.e. for 672,905,178 is 1.
Thus, LCM of Fractions is 18467384.Finally, LCM of Fractions for 82/672, 488/905, 923/178 is 18467384.