Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 529/68, 767/49, 388/769 quickly i.e. 157428284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 529/68, 767/49, 388/769 is 157428284.
LCM(529/68, 767/49, 388/769) = 157428284
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 529/68,767/49,388/769
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 529,767,388
Least Common Multiple of Numerators i.e. LCM of 529,767,388 is 157428284.
GCF of Denominators means GCF of 68,49,769 as per the given fractions.
GCF of 68,49,769 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 529,767,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 157428284
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 529,767,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,767,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,767,388) x common factors =1 x 1 = 1
LCM(529,767,388) = ( 529 × 767 × 388 ) / 1
LCM(529,767,388) = 157428284 / 1
LCM(529,767,388) = 157428284
Lets's calculate GCF of 68,49,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157428284/1
Therefore the LCM of Fractions 529/68,767/49,388/769 is 157428284
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 68,49,769 . The biggest common factor number is the GCF number.
So the greatest common factor 68,49,769 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 529/68, 767/49, 388/769?
Answer: LCM of Numerators as per given numbers 529/68, 767/49, 388/769 is
LCM of Numerators i.e. for 529,767,388 is 157428284
GCF of denominators i.e. for 68,49,769 is 1.
Thus, LCM of Fractions is 157428284.Finally, LCM of Fractions for 529/68, 767/49, 388/769 is 157428284.