Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 301/961, 947/646, 446/446 quickly i.e. 127130962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 301/961, 947/646, 446/446 is 127130962.
LCM(301/961, 947/646, 446/446) = 127130962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 301/961,947/646,446/446
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 301,947,446
Least Common Multiple of Numerators i.e. LCM of 301,947,446 is 127130962.
GCF of Denominators means GCF of 961,646,446 as per the given fractions.
GCF of 961,646,446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 301,947,446
Given numbers has no common factors except 1. So, there LCM is their product i.e 127130962
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 301,947,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,947,446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,947,446) x common factors =1 x 1 = 1
LCM(301,947,446) = ( 301 × 947 × 446 ) / 1
LCM(301,947,446) = 127130962 / 1
LCM(301,947,446) = 127130962
Lets's calculate GCF of 961,646,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127130962/1
Therefore the LCM of Fractions 301/961,947/646,446/446 is 127130962
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 961,646,446 . The biggest common factor number is the GCF number.
So the greatest common factor 961,646,446 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 301/961, 947/646, 446/446?
Answer: LCM of Numerators as per given numbers 301/961, 947/646, 446/446 is
LCM of Numerators i.e. for 301,947,446 is 127130962
GCF of denominators i.e. for 961,646,446 is 1.
Thus, LCM of Fractions is 127130962.Finally, LCM of Fractions for 301/961, 947/646, 446/446 is 127130962.