Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/765, 3329/7120 quickly i.e. 289623/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/765, 3329/7120 is 289623/5.
LCM(87/765, 3329/7120) = 289623/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/765,3329/7120
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 87,3329
Least Common Multiple of Numerators i.e. LCM of 87,3329 is 289623.
GCF of Denominators means GCF of 765,7120 as per the given fractions.
GCF of 765,7120 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,3329
Given numbers has no common factors except 1. So, there LCM is their product i.e 289623
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 87,3329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,3329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,3329) x common factors =1 x 1 = 1
LCM(87,3329) = ( 87 × 3329 ) / 1
LCM(87,3329) = 289623 / 1
LCM(87,3329) = 289623
Lets's calculate GCF of 765,7120
5 | 765, 7120 |
153, 1424 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289623/5
Therefore the LCM of Fractions 87/765,3329/7120 is 289623/5
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 7120
List of positive integer factors of 7120 that divides 7120 without a remainder.
1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 765,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 765,7120 is 5.
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 87/765, 3329/7120?
Answer: LCM of Numerators as per given numbers 87/765, 3329/7120 is
LCM of Numerators i.e. for 87,3329 is 289623
GCF of denominators i.e. for 765,7120 is 5.
Thus, LCM of Fractions is 289623/5.Finally, LCM of Fractions for 87/765, 3329/7120 is 289623/5.