Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 448/203, 863/438, 929/948 quickly i.e. 359173696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 448/203, 863/438, 929/948 is 359173696.
LCM(448/203, 863/438, 929/948) = 359173696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 448/203,863/438,929/948
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 448,863,929
Least Common Multiple of Numerators i.e. LCM of 448,863,929 is 359173696.
GCF of Denominators means GCF of 203,438,948 as per the given fractions.
GCF of 203,438,948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 448,863,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 359173696
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 448,863,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,863,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,863,929) x common factors =1 x 1 = 1
LCM(448,863,929) = ( 448 × 863 × 929 ) / 1
LCM(448,863,929) = 359173696 / 1
LCM(448,863,929) = 359173696
Lets's calculate GCF of 203,438,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359173696/1
Therefore the LCM of Fractions 448/203,863/438,929/948 is 359173696
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 203,438,948 . The biggest common factor number is the GCF number.
So the greatest common factor 203,438,948 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 448/203, 863/438, 929/948?
Answer: LCM of Numerators as per given numbers 448/203, 863/438, 929/948 is
LCM of Numerators i.e. for 448,863,929 is 359173696
GCF of denominators i.e. for 203,438,948 is 1.
Thus, LCM of Fractions is 359173696.Finally, LCM of Fractions for 448/203, 863/438, 929/948 is 359173696.