Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/540, 95/848, 95/244 quickly i.e. 190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/540, 95/848, 95/244 is 190.
LCM(8/540, 95/848, 95/244) = 190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/540,95/848,95/244
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 8,95,95
Least Common Multiple of Numerators i.e. LCM of 8,95,95 is 760.
GCF of Denominators means GCF of 540,848,244 as per the given fractions.
GCF of 540,848,244 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,95,95
5 | 8, 95, 95 |
19 | 8, 19, 19 |
8, 1, 1 |
∴ So the LCM of the given numbers is 5 x 19 x 8 x 1 x 1 = 760
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 8,95,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,95,95) = 1
common factors(in case of two or more numbers have common factors) = 95
GCF(8,95,95) x common factors =1 x 95 = 95
LCM(8,95,95) = ( 8 × 95 × 95 ) / 95
LCM(8,95,95) = 72200 / 95
LCM(8,95,95) = 760
Lets's calculate GCF of 540,848,244
2 | 540, 848, 244 |
2 | 270, 424, 122 |
135, 212, 61 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 760/4
Therefore the LCM of Fractions 8/540,95/848,95/244 is 190
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 540,848,244 . The biggest common factor number is the GCF number.
So the greatest common factor 540,848,244 is 4.
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 8/540, 95/848, 95/244?
Answer: LCM of Numerators as per given numbers 8/540, 95/848, 95/244 is
LCM of Numerators i.e. for 8,95,95 is 760
GCF of denominators i.e. for 540,848,244 is 4.
Thus, LCM of Fractions is 190.Finally, LCM of Fractions for 8/540, 95/848, 95/244 is 190.