Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/970, 1649/267 quickly i.e. 486455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/970, 1649/267 is 486455.
LCM(295/970, 1649/267) = 486455
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/970,1649/267
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 295,1649
Least Common Multiple of Numerators i.e. LCM of 295,1649 is 486455.
GCF of Denominators means GCF of 970,267 as per the given fractions.
GCF of 970,267 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,1649
Given numbers has no common factors except 1. So, there LCM is their product i.e 486455
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 295,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,1649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,1649) x common factors =1 x 1 = 1
LCM(295,1649) = ( 295 × 1649 ) / 1
LCM(295,1649) = 486455 / 1
LCM(295,1649) = 486455
Lets's calculate GCF of 970,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486455/1
Therefore the LCM of Fractions 295/970,1649/267 is 486455
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 970,267 . The biggest common factor number is the GCF number.
So the greatest common factor 970,267 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 295/970, 1649/267?
Answer: LCM of Numerators as per given numbers 295/970, 1649/267 is
LCM of Numerators i.e. for 295,1649 is 486455
GCF of denominators i.e. for 970,267 is 1.
Thus, LCM of Fractions is 486455.Finally, LCM of Fractions for 295/970, 1649/267 is 486455.