Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/245, 55/610, 36/258 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/245, 55/610, 36/258 is 1980.
LCM(1/245, 55/610, 36/258) = 1980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/245,55/610,36/258
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 1,55,36
Least Common Multiple of Numerators i.e. LCM of 1,55,36 is 1980.
GCF of Denominators means GCF of 245,610,258 as per the given fractions.
GCF of 245,610,258 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,55,36
Given numbers has no common factors except 1. So, there LCM is their product i.e 1980
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 1,55,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,55,36) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,55,36) x common factors =1 x 1 = 1
LCM(1,55,36) = ( 1 × 55 × 36 ) / 1
LCM(1,55,36) = 1980 / 1
LCM(1,55,36) = 1980
Lets's calculate GCF of 245,610,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980/1
Therefore the LCM of Fractions 1/245,55/610,36/258 is 1980
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 245,610,258 . The biggest common factor number is the GCF number.
So the greatest common factor 245,610,258 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 1/245, 55/610, 36/258?
Answer: LCM of Numerators as per given numbers 1/245, 55/610, 36/258 is
LCM of Numerators i.e. for 1,55,36 is 1980
GCF of denominators i.e. for 245,610,258 is 1.
Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 1/245, 55/610, 36/258 is 1980.