Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/127, 775/60, 608/757 quickly i.e. 471200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/127, 775/60, 608/757 is 471200.
LCM(20/127, 775/60, 608/757) = 471200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/127,775/60,608/757
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 20,775,608
Least Common Multiple of Numerators i.e. LCM of 20,775,608 is 471200.
GCF of Denominators means GCF of 127,60,757 as per the given fractions.
GCF of 127,60,757 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,775,608
2 | 20, 775, 608 |
2 | 10, 775, 304 |
5 | 5, 775, 152 |
1, 155, 152 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 155 x 152 = 471200
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 20,775,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,775,608) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,775,608) x common factors =1 x 20 = 20
LCM(20,775,608) = ( 20 × 775 × 608 ) / 20
LCM(20,775,608) = 9424000 / 20
LCM(20,775,608) = 471200
Lets's calculate GCF of 127,60,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471200/1
Therefore the LCM of Fractions 20/127,775/60,608/757 is 471200
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 127,60,757 . The biggest common factor number is the GCF number.
So the greatest common factor 127,60,757 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 20/127, 775/60, 608/757?
Answer: LCM of Numerators as per given numbers 20/127, 775/60, 608/757 is
LCM of Numerators i.e. for 20,775,608 is 471200
GCF of denominators i.e. for 127,60,757 is 1.
Thus, LCM of Fractions is 471200.Finally, LCM of Fractions for 20/127, 775/60, 608/757 is 471200.