Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/482, 2132/677 quickly i.e. 1362348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/482, 2132/677 is 1362348.
LCM(639/482, 2132/677) = 1362348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/482,2132/677
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 639,2132
Least Common Multiple of Numerators i.e. LCM of 639,2132 is 1362348.
GCF of Denominators means GCF of 482,677 as per the given fractions.
GCF of 482,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,2132
Given numbers has no common factors except 1. So, there LCM is their product i.e 1362348
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 639,2132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,2132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,2132) x common factors =1 x 1 = 1
LCM(639,2132) = ( 639 × 2132 ) / 1
LCM(639,2132) = 1362348 / 1
LCM(639,2132) = 1362348
Lets's calculate GCF of 482,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1362348/1
Therefore the LCM of Fractions 639/482,2132/677 is 1362348
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 482,677 . The biggest common factor number is the GCF number.
So the greatest common factor 482,677 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 639/482, 2132/677?
Answer: LCM of Numerators as per given numbers 639/482, 2132/677 is
LCM of Numerators i.e. for 639,2132 is 1362348
GCF of denominators i.e. for 482,677 is 1.
Thus, LCM of Fractions is 1362348.Finally, LCM of Fractions for 639/482, 2132/677 is 1362348.