Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 980/34, 343/36, 208/257 quickly i.e. 356720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 980/34, 343/36, 208/257 is 356720.
LCM(980/34, 343/36, 208/257) = 356720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 980/34,343/36,208/257
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 980,343,208
Least Common Multiple of Numerators i.e. LCM of 980,343,208 is 356720.
GCF of Denominators means GCF of 34,36,257 as per the given fractions.
GCF of 34,36,257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 980,343,208
2 | 980, 343, 208 |
2 | 490, 343, 104 |
7 | 245, 343, 52 |
7 | 35, 49, 52 |
5, 7, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 5 x 7 x 52 = 356720
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 980,343,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,343,208) = 1
common factors(in case of two or more numbers have common factors) = 196
GCF(980,343,208) x common factors =1 x 196 = 196
LCM(980,343,208) = ( 980 × 343 × 208 ) / 196
LCM(980,343,208) = 69917120 / 196
LCM(980,343,208) = 356720
Lets's calculate GCF of 34,36,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356720/1
Therefore the LCM of Fractions 980/34,343/36,208/257 is 356720
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 34,36,257 . The biggest common factor number is the GCF number.
So the greatest common factor 34,36,257 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 980/34, 343/36, 208/257?
Answer: LCM of Numerators as per given numbers 980/34, 343/36, 208/257 is
LCM of Numerators i.e. for 980,343,208 is 356720
GCF of denominators i.e. for 34,36,257 is 1.
Thus, LCM of Fractions is 356720.Finally, LCM of Fractions for 980/34, 343/36, 208/257 is 356720.