Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/889, 65/273, 991/368 quickly i.e. 6377085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/889, 65/273, 991/368 is 6377085.
LCM(99/889, 65/273, 991/368) = 6377085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/889,65/273,991/368
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 99,65,991
Least Common Multiple of Numerators i.e. LCM of 99,65,991 is 6377085.
GCF of Denominators means GCF of 889,273,368 as per the given fractions.
GCF of 889,273,368 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,65,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 6377085
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 99,65,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,65,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,65,991) x common factors =1 x 1 = 1
LCM(99,65,991) = ( 99 × 65 × 991 ) / 1
LCM(99,65,991) = 6377085 / 1
LCM(99,65,991) = 6377085
Lets's calculate GCF of 889,273,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6377085/1
Therefore the LCM of Fractions 99/889,65/273,991/368 is 6377085
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 889,273,368 . The biggest common factor number is the GCF number.
So the greatest common factor 889,273,368 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 99/889, 65/273, 991/368?
Answer: LCM of Numerators as per given numbers 99/889, 65/273, 991/368 is
LCM of Numerators i.e. for 99,65,991 is 6377085
GCF of denominators i.e. for 889,273,368 is 1.
Thus, LCM of Fractions is 6377085.Finally, LCM of Fractions for 99/889, 65/273, 991/368 is 6377085.