Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/63, 121/39, 596/670 quickly i.e. 6274092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/63, 121/39, 596/670 is 6274092.
LCM(87/63, 121/39, 596/670) = 6274092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/63,121/39,596/670
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 87,121,596
Least Common Multiple of Numerators i.e. LCM of 87,121,596 is 6274092.
GCF of Denominators means GCF of 63,39,670 as per the given fractions.
GCF of 63,39,670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,121,596
Given numbers has no common factors except 1. So, there LCM is their product i.e 6274092
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 87,121,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,121,596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,121,596) x common factors =1 x 1 = 1
LCM(87,121,596) = ( 87 × 121 × 596 ) / 1
LCM(87,121,596) = 6274092 / 1
LCM(87,121,596) = 6274092
Lets's calculate GCF of 63,39,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6274092/1
Therefore the LCM of Fractions 87/63,121/39,596/670 is 6274092
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 63,39,670 . The biggest common factor number is the GCF number.
So the greatest common factor 63,39,670 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 87/63, 121/39, 596/670?
Answer: LCM of Numerators as per given numbers 87/63, 121/39, 596/670 is
LCM of Numerators i.e. for 87,121,596 is 6274092
GCF of denominators i.e. for 63,39,670 is 1.
Thus, LCM of Fractions is 6274092.Finally, LCM of Fractions for 87/63, 121/39, 596/670 is 6274092.