Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/929, 90/301, 211/995 quickly i.e. 1728090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/929, 90/301, 211/995 is 1728090.
LCM(91/929, 90/301, 211/995) = 1728090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/929,90/301,211/995
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 91,90,211
Least Common Multiple of Numerators i.e. LCM of 91,90,211 is 1728090.
GCF of Denominators means GCF of 929,301,995 as per the given fractions.
GCF of 929,301,995 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,90,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 1728090
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 91,90,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,90,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,90,211) x common factors =1 x 1 = 1
LCM(91,90,211) = ( 91 × 90 × 211 ) / 1
LCM(91,90,211) = 1728090 / 1
LCM(91,90,211) = 1728090
Lets's calculate GCF of 929,301,995
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1728090/1
Therefore the LCM of Fractions 91/929,90/301,211/995 is 1728090
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Greatest Common Factor
We found the factors 929,301,995 . The biggest common factor number is the GCF number.
So the greatest common factor 929,301,995 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 91/929, 90/301, 211/995?
Answer: LCM of Numerators as per given numbers 91/929, 90/301, 211/995 is
LCM of Numerators i.e. for 91,90,211 is 1728090
GCF of denominators i.e. for 929,301,995 is 1.
Thus, LCM of Fractions is 1728090.Finally, LCM of Fractions for 91/929, 90/301, 211/995 is 1728090.