Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 320/52, 151/25, 640/527 quickly i.e. 96640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 320/52, 151/25, 640/527 is 96640.
LCM(320/52, 151/25, 640/527) = 96640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 320/52,151/25,640/527
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 320,151,640
Least Common Multiple of Numerators i.e. LCM of 320,151,640 is 96640.
GCF of Denominators means GCF of 52,25,527 as per the given fractions.
GCF of 52,25,527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 320,151,640
2 | 320, 151, 640 |
2 | 160, 151, 320 |
2 | 80, 151, 160 |
2 | 40, 151, 80 |
2 | 20, 151, 40 |
2 | 10, 151, 20 |
5 | 5, 151, 10 |
1, 151, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1 x 151 x 2 = 96640
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 320,151,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,151,640) = 1
common factors(in case of two or more numbers have common factors) = 320
GCF(320,151,640) x common factors =1 x 320 = 320
LCM(320,151,640) = ( 320 × 151 × 640 ) / 320
LCM(320,151,640) = 30924800 / 320
LCM(320,151,640) = 96640
Lets's calculate GCF of 52,25,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96640/1
Therefore the LCM of Fractions 320/52,151/25,640/527 is 96640
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 52,25,527 . The biggest common factor number is the GCF number.
So the greatest common factor 52,25,527 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 320/52, 151/25, 640/527?
Answer: LCM of Numerators as per given numbers 320/52, 151/25, 640/527 is
LCM of Numerators i.e. for 320,151,640 is 96640
GCF of denominators i.e. for 52,25,527 is 1.
Thus, LCM of Fractions is 96640.Finally, LCM of Fractions for 320/52, 151/25, 640/527 is 96640.