Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/84, 7332/115 quickly i.e. 1026480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/84, 7332/115 is 1026480.
LCM(560/84, 7332/115) = 1026480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/84,7332/115
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 560,7332
Least Common Multiple of Numerators i.e. LCM of 560,7332 is 1026480.
GCF of Denominators means GCF of 84,115 as per the given fractions.
GCF of 84,115 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,7332
2 | 560, 7332 |
2 | 280, 3666 |
140, 1833 |
∴ So the LCM of the given numbers is 2 x 2 x 140 x 1833 = 1026480
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 560,7332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,7332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(560,7332) x common factors =4 x 1 = 4
LCM(560,7332) = ( 560 × 7332 ) / 4
LCM(560,7332) = 4105920 / 4
LCM(560,7332) = 1026480
Lets's calculate GCF of 84,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1026480/1
Therefore the LCM of Fractions 560/84,7332/115 is 1026480
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Greatest Common Factor
We found the factors 84,115 . The biggest common factor number is the GCF number.
So the greatest common factor 84,115 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 560/84, 7332/115?
Answer: LCM of Numerators as per given numbers 560/84, 7332/115 is
LCM of Numerators i.e. for 560,7332 is 1026480
GCF of denominators i.e. for 84,115 is 1.
Thus, LCM of Fractions is 1026480.Finally, LCM of Fractions for 560/84, 7332/115 is 1026480.