Least Common Multiple of 296/583, 545/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 296/583, 545/182 quickly i.e. 161320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/583, 545/182 is 161320.

LCM(296/583, 545/182) = 161320

LCM of 296/583, 545/182

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 296/583,545/182

Given numbers are 296/583,545/182

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 296,545

Least Common Multiple of Numerators i.e. LCM of 296,545 is 161320.

GCF of Denominators means GCF of 583,182 as per the given fractions.

GCF of 583,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,545

LCM of Fractions 296/583,545/182 is 161320

Given numbers has no common factors except 1. So, there LCM is their product i.e 161320

Least Common Multiple of 296,545 with GCF Formula

Least Common Multiple of 296,545 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 296,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,545) = 1

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

GCF(296,545) x common factors =1 x 1 = 1

LCM(296,545) = ( 296 × 545 ) / 1

LCM(296,545) = 161320 / 1

LCM(296,545) = 161320


Lets's calculate GCF of 583,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161320/1

Therefore the LCM of Fractions 296/583,545/182 is 161320

Greatest Common Factor of 583,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,182 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 583,182 . The biggest common factor number is the GCF number.
So the greatest common factor 583,182 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 296/583, 545/182

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 296/583, 545/182?

Answer: LCM of Numerators as per given numbers 296/583, 545/182 is

LCM of Numerators i.e. for 296,545 is 161320

GCF of denominators i.e. for 583,182 is 1.

Thus, LCM of Fractions is 161320.Finally, LCM of Fractions for 296/583, 545/182 is 161320.