Least Common Multiple of 48/91, 73/18, 289/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/91, 73/18, 289/297 quickly i.e. 1012656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/91, 73/18, 289/297 is 1012656.

LCM(48/91, 73/18, 289/297) = 1012656

LCM of 48/91, 73/18, 289/297

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 48/91,73/18,289/297

Given numbers are 48/91,73/18,289/297

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 48,73,289

Least Common Multiple of Numerators i.e. LCM of 48,73,289 is 1012656.

GCF of Denominators means GCF of 91,18,297 as per the given fractions.

GCF of 91,18,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,73,289

LCM of Fractions 48/91,73/18,289/297 is 1012656

Given numbers has no common factors except 1. So, there LCM is their product i.e 1012656

Least Common Multiple of 48,73,289 with GCF Formula

Least Common Multiple of 48,73,289 with GCF Formula

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 48,73,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,73,289) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(48,73,289) x common factors =1 x 1 = 1

LCM(48,73,289) = ( 48 × 73 × 289 ) / 1

LCM(48,73,289) = 1012656 / 1

LCM(48,73,289) = 1012656


Lets's calculate GCF of 91,18,297

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1012656/1

Therefore the LCM of Fractions 48/91,73/18,289/297 is 1012656

Greatest Common Factor of 91,18,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,18,297 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 91,18,297 . The biggest common factor number is the GCF number.
So the greatest common factor 91,18,297 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 48/91, 73/18, 289/297

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 48/91, 73/18, 289/297?

Answer: LCM of Numerators as per given numbers 48/91, 73/18, 289/297 is

LCM of Numerators i.e. for 48,73,289 is 1012656

GCF of denominators i.e. for 91,18,297 is 1.

Thus, LCM of Fractions is 1012656.Finally, LCM of Fractions for 48/91, 73/18, 289/297 is 1012656.