Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/640, 71/420, 221/587 quickly i.e. 1176825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/640, 71/420, 221/587 is 1176825.
LCM(75/640, 71/420, 221/587) = 1176825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/640,71/420,221/587
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 75,71,221
Least Common Multiple of Numerators i.e. LCM of 75,71,221 is 1176825.
GCF of Denominators means GCF of 640,420,587 as per the given fractions.
GCF of 640,420,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,71,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176825
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 75,71,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,71,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,71,221) x common factors =1 x 1 = 1
LCM(75,71,221) = ( 75 × 71 × 221 ) / 1
LCM(75,71,221) = 1176825 / 1
LCM(75,71,221) = 1176825
Lets's calculate GCF of 640,420,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1176825/1
Therefore the LCM of Fractions 75/640,71/420,221/587 is 1176825
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 640,420,587 . The biggest common factor number is the GCF number.
So the greatest common factor 640,420,587 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 75/640, 71/420, 221/587?
Answer: LCM of Numerators as per given numbers 75/640, 71/420, 221/587 is
LCM of Numerators i.e. for 75,71,221 is 1176825
GCF of denominators i.e. for 640,420,587 is 1.
Thus, LCM of Fractions is 1176825.Finally, LCM of Fractions for 75/640, 71/420, 221/587 is 1176825.