Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 170/85, 328/82, 340/890 quickly i.e. 27880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 170/85, 328/82, 340/890 is 27880.
LCM(170/85, 328/82, 340/890) = 27880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 170/85,328/82,340/890
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 170,328,340
Least Common Multiple of Numerators i.e. LCM of 170,328,340 is 27880.
GCF of Denominators means GCF of 85,82,890 as per the given fractions.
GCF of 85,82,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 170,328,340
2 | 170, 328, 340 |
2 | 85, 164, 170 |
5 | 85, 82, 85 |
17 | 17, 82, 17 |
1, 82, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 1 x 82 x 1 = 27880
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 170,328,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,328,340) = 2
common factors(in case of two or more numbers have common factors) = 340
GCF(170,328,340) x common factors =2 x 340 = 680
LCM(170,328,340) = ( 170 × 328 × 340 ) / 680
LCM(170,328,340) = 18958400 / 680
LCM(170,328,340) = 27880
Lets's calculate GCF of 85,82,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27880/1
Therefore the LCM of Fractions 170/85,328/82,340/890 is 27880
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 85,82,890 . The biggest common factor number is the GCF number.
So the greatest common factor 85,82,890 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 170/85, 328/82, 340/890?
Answer: LCM of Numerators as per given numbers 170/85, 328/82, 340/890 is
LCM of Numerators i.e. for 170,328,340 is 27880
GCF of denominators i.e. for 85,82,890 is 1.
Thus, LCM of Fractions is 27880.Finally, LCM of Fractions for 170/85, 328/82, 340/890 is 27880.