Least Common Multiple of 162/176, 8283/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/176, 8283/284 quickly i.e. 447282/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/176, 8283/284 is 447282/4.

LCM(162/176, 8283/284) = 447282/4

LCM of 162/176, 8283/284

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 162/176,8283/284

Given numbers are 162/176,8283/284

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 162,8283

Least Common Multiple of Numerators i.e. LCM of 162,8283 is 447282.

GCF of Denominators means GCF of 176,284 as per the given fractions.

GCF of 176,284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,8283

LCM of Fractions 162/176,8283/284 is 447282/4

3 162, 8283
54, 2761

∴ So the LCM of the given numbers is 3 x 54 x 2761 = 447282

Least Common Multiple of 162,8283 with GCF Formula

Least Common Multiple of 162,8283 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 162,8283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,8283) = 3

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

GCF(162,8283) x common factors =3 x 1 = 3

LCM(162,8283) = ( 162 × 8283 ) / 3

LCM(162,8283) = 1341846 / 3

LCM(162,8283) = 447282


Lets's calculate GCF of 176,284

2 176, 284
2 88, 142
44, 71

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447282/4

Therefore the LCM of Fractions 162/176,8283/284 is 447282/4

Greatest Common Factor of 176,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,284 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 176,284 . The biggest common factor number is the GCF number.
So the greatest common factor 176,284 is 4.


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 162/176, 8283/284

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 162/176, 8283/284?

Answer: LCM of Numerators as per given numbers 162/176, 8283/284 is

LCM of Numerators i.e. for 162,8283 is 447282

GCF of denominators i.e. for 176,284 is 4.

Thus, LCM of Fractions is 447282/4.Finally, LCM of Fractions for 162/176, 8283/284 is 447282/4.