Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/57, 170/4159 quickly i.e. 64940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/57, 170/4159 is 64940.
LCM(764/57, 170/4159) = 64940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/57,170/4159
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 764,170
Least Common Multiple of Numerators i.e. LCM of 764,170 is 64940.
GCF of Denominators means GCF of 57,4159 as per the given fractions.
GCF of 57,4159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,170
2 | 764, 170 |
382, 85 |
∴ So the LCM of the given numbers is 2 x 382 x 85 = 64940
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 764,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,170) x common factors =2 x 1 = 2
LCM(764,170) = ( 764 × 170 ) / 2
LCM(764,170) = 129880 / 2
LCM(764,170) = 64940
Lets's calculate GCF of 57,4159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64940/1
Therefore the LCM of Fractions 764/57,170/4159 is 64940
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 4159
List of positive integer factors of 4159 that divides 4159 without a remainder.
1,4159
Greatest Common Factor
We found the factors 57,4159 . The biggest common factor number is the GCF number.
So the greatest common factor 57,4159 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 764/57, 170/4159?
Answer: LCM of Numerators as per given numbers 764/57, 170/4159 is
LCM of Numerators i.e. for 764,170 is 64940
GCF of denominators i.e. for 57,4159 is 1.
Thus, LCM of Fractions is 64940.Finally, LCM of Fractions for 764/57, 170/4159 is 64940.