Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 449/674, 897/258, 467/881 quickly i.e. 188085651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 449/674, 897/258, 467/881 is 188085651.
LCM(449/674, 897/258, 467/881) = 188085651
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 449/674,897/258,467/881
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 449,897,467
Least Common Multiple of Numerators i.e. LCM of 449,897,467 is 188085651.
GCF of Denominators means GCF of 674,258,881 as per the given fractions.
GCF of 674,258,881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 449,897,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 188085651
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 449,897,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,897,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,897,467) x common factors =1 x 1 = 1
LCM(449,897,467) = ( 449 × 897 × 467 ) / 1
LCM(449,897,467) = 188085651 / 1
LCM(449,897,467) = 188085651
Lets's calculate GCF of 674,258,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188085651/1
Therefore the LCM of Fractions 449/674,897/258,467/881 is 188085651
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 674,258,881 . The biggest common factor number is the GCF number.
So the greatest common factor 674,258,881 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 449/674, 897/258, 467/881?
Answer: LCM of Numerators as per given numbers 449/674, 897/258, 467/881 is
LCM of Numerators i.e. for 449,897,467 is 188085651
GCF of denominators i.e. for 674,258,881 is 1.
Thus, LCM of Fractions is 188085651.Finally, LCM of Fractions for 449/674, 897/258, 467/881 is 188085651.