Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 337/77, 2914/273 quickly i.e. 982018/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 337/77, 2914/273 is 982018/7.
LCM(337/77, 2914/273) = 982018/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 337/77,2914/273
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 337,2914
Least Common Multiple of Numerators i.e. LCM of 337,2914 is 982018.
GCF of Denominators means GCF of 77,273 as per the given fractions.
GCF of 77,273 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 337,2914
Given numbers has no common factors except 1. So, there LCM is their product i.e 982018
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 337,2914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,2914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,2914) x common factors =1 x 1 = 1
LCM(337,2914) = ( 337 × 2914 ) / 1
LCM(337,2914) = 982018 / 1
LCM(337,2914) = 982018
Lets's calculate GCF of 77,273
7 | 77, 273 |
11, 39 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 982018/7
Therefore the LCM of Fractions 337/77,2914/273 is 982018/7
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 77,273 . The biggest common factor number is the GCF number.
So the greatest common factor 77,273 is 7.
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 337/77, 2914/273?
Answer: LCM of Numerators as per given numbers 337/77, 2914/273 is
LCM of Numerators i.e. for 337,2914 is 982018
GCF of denominators i.e. for 77,273 is 7.
Thus, LCM of Fractions is 982018/7.Finally, LCM of Fractions for 337/77, 2914/273 is 982018/7.