Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/190, 81/888, 208/530 quickly i.e. 244296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/190, 81/888, 208/530 is 244296.
LCM(87/190, 81/888, 208/530) = 244296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/190,81/888,208/530
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 87,81,208
Least Common Multiple of Numerators i.e. LCM of 87,81,208 is 488592.
GCF of Denominators means GCF of 190,888,530 as per the given fractions.
GCF of 190,888,530 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,81,208
3 | 87, 81, 208 |
29, 27, 208 |
∴ So the LCM of the given numbers is 3 x 29 x 27 x 208 = 488592
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 87,81,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,81,208) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,81,208) x common factors =1 x 3 = 3
LCM(87,81,208) = ( 87 × 81 × 208 ) / 3
LCM(87,81,208) = 1465776 / 3
LCM(87,81,208) = 488592
Lets's calculate GCF of 190,888,530
2 | 190, 888, 530 |
95, 444, 265 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488592/2
Therefore the LCM of Fractions 87/190,81/888,208/530 is 244296
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 190,888,530 . The biggest common factor number is the GCF number.
So the greatest common factor 190,888,530 is 2.
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 87/190, 81/888, 208/530?
Answer: LCM of Numerators as per given numbers 87/190, 81/888, 208/530 is
LCM of Numerators i.e. for 87,81,208 is 488592
GCF of denominators i.e. for 190,888,530 is 2.
Thus, LCM of Fractions is 244296.Finally, LCM of Fractions for 87/190, 81/888, 208/530 is 244296.