Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/171, 40/792, 220/398 quickly i.e. 8360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/171, 40/792, 220/398 is 8360.
LCM(95/171, 40/792, 220/398) = 8360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/171,40/792,220/398
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 95,40,220
Least Common Multiple of Numerators i.e. LCM of 95,40,220 is 8360.
GCF of Denominators means GCF of 171,792,398 as per the given fractions.
GCF of 171,792,398 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,40,220
2 | 95, 40, 220 |
2 | 95, 20, 110 |
5 | 95, 10, 55 |
19, 2, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 2 x 11 = 8360
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 95,40,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,40,220) = 5
common factors(in case of two or more numbers have common factors) = 20
GCF(95,40,220) x common factors =5 x 20 = 100
LCM(95,40,220) = ( 95 × 40 × 220 ) / 100
LCM(95,40,220) = 836000 / 100
LCM(95,40,220) = 8360
Lets's calculate GCF of 171,792,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8360/1
Therefore the LCM of Fractions 95/171,40/792,220/398 is 8360
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 171,792,398 . The biggest common factor number is the GCF number.
So the greatest common factor 171,792,398 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 95/171, 40/792, 220/398?
Answer: LCM of Numerators as per given numbers 95/171, 40/792, 220/398 is
LCM of Numerators i.e. for 95,40,220 is 8360
GCF of denominators i.e. for 171,792,398 is 1.
Thus, LCM of Fractions is 8360.Finally, LCM of Fractions for 95/171, 40/792, 220/398 is 8360.