Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/769, 23/804, 700/166 quickly i.e. 949900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/769, 23/804, 700/166 is 949900.
LCM(59/769, 23/804, 700/166) = 949900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/769,23/804,700/166
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 59,23,700
Least Common Multiple of Numerators i.e. LCM of 59,23,700 is 949900.
GCF of Denominators means GCF of 769,804,166 as per the given fractions.
GCF of 769,804,166 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,23,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 949900
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 59,23,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,23,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,23,700) x common factors =1 x 1 = 1
LCM(59,23,700) = ( 59 × 23 × 700 ) / 1
LCM(59,23,700) = 949900 / 1
LCM(59,23,700) = 949900
Lets's calculate GCF of 769,804,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949900/1
Therefore the LCM of Fractions 59/769,23/804,700/166 is 949900
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 769,804,166 . The biggest common factor number is the GCF number.
So the greatest common factor 769,804,166 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 59/769, 23/804, 700/166?
Answer: LCM of Numerators as per given numbers 59/769, 23/804, 700/166 is
LCM of Numerators i.e. for 59,23,700 is 949900
GCF of denominators i.e. for 769,804,166 is 1.
Thus, LCM of Fractions is 949900.Finally, LCM of Fractions for 59/769, 23/804, 700/166 is 949900.