Least Common Multiple of 65/289, 37/442, 176/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/289, 37/442, 176/535 quickly i.e. 423280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/289, 37/442, 176/535 is 423280.

LCM(65/289, 37/442, 176/535) = 423280

LCM of 65/289, 37/442, 176/535

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 65/289,37/442,176/535

Given numbers are 65/289,37/442,176/535

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 65,37,176

Least Common Multiple of Numerators i.e. LCM of 65,37,176 is 423280.

GCF of Denominators means GCF of 289,442,535 as per the given fractions.

GCF of 289,442,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,37,176

LCM of Fractions 65/289,37/442,176/535 is 423280

Given numbers has no common factors except 1. So, there LCM is their product i.e 423280

Least Common Multiple of 65,37,176 with GCF Formula

Least Common Multiple of 65,37,176 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 65,37,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,37,176) = 1

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

GCF(65,37,176) x common factors =1 x 1 = 1

LCM(65,37,176) = ( 65 × 37 × 176 ) / 1

LCM(65,37,176) = 423280 / 1

LCM(65,37,176) = 423280


Lets's calculate GCF of 289,442,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423280/1

Therefore the LCM of Fractions 65/289,37/442,176/535 is 423280

Greatest Common Factor of 289,442,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,442,535 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 289,442,535 . The biggest common factor number is the GCF number.
So the greatest common factor 289,442,535 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 65/289, 37/442, 176/535

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 65/289, 37/442, 176/535?

Answer: LCM of Numerators as per given numbers 65/289, 37/442, 176/535 is

LCM of Numerators i.e. for 65,37,176 is 423280

GCF of denominators i.e. for 289,442,535 is 1.

Thus, LCM of Fractions is 423280.Finally, LCM of Fractions for 65/289, 37/442, 176/535 is 423280.