Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 960/684, 660/296 quickly i.e. 2640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 960/684, 660/296 is 2640.
LCM(960/684, 660/296) = 2640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 960/684,660/296
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 960,660
Least Common Multiple of Numerators i.e. LCM of 960,660 is 10560.
GCF of Denominators means GCF of 684,296 as per the given fractions.
GCF of 684,296 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 960,660
2 | 960, 660 |
2 | 480, 330 |
3 | 240, 165 |
5 | 80, 55 |
16, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 16 x 11 = 10560
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 960,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,660) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(960,660) x common factors =60 x 1 = 60
LCM(960,660) = ( 960 × 660 ) / 60
LCM(960,660) = 633600 / 60
LCM(960,660) = 10560
Lets's calculate GCF of 684,296
2 | 684, 296 |
2 | 342, 148 |
171, 74 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10560/4
Therefore the LCM of Fractions 960/684,660/296 is 2640
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 684,296 . The biggest common factor number is the GCF number.
So the greatest common factor 684,296 is 4.
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 960/684, 660/296?
Answer: LCM of Numerators as per given numbers 960/684, 660/296 is
LCM of Numerators i.e. for 960,660 is 10560
GCF of denominators i.e. for 684,296 is 4.
Thus, LCM of Fractions is 2640.Finally, LCM of Fractions for 960/684, 660/296 is 2640.