Least Common Multiple of 162/888, 2240/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/888, 2240/392 quickly i.e. 22680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/888, 2240/392 is 22680.

LCM(162/888, 2240/392) = 22680

LCM of 162/888, 2240/392

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 162/888,2240/392

Given numbers are 162/888,2240/392

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 162,2240

Least Common Multiple of Numerators i.e. LCM of 162,2240 is 181440.

GCF of Denominators means GCF of 888,392 as per the given fractions.

GCF of 888,392 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,2240

LCM of Fractions 162/888,2240/392 is 22680

2 162, 2240
81, 1120

∴ So the LCM of the given numbers is 2 x 81 x 1120 = 181440

Least Common Multiple of 162,2240 with GCF Formula

Least Common Multiple of 162,2240 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 162,2240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,2240) = 2

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

GCF(162,2240) x common factors =2 x 1 = 2

LCM(162,2240) = ( 162 × 2240 ) / 2

LCM(162,2240) = 362880 / 2

LCM(162,2240) = 181440


Lets's calculate GCF of 888,392

2 888, 392
2 444, 196
2 222, 98
111, 49

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181440/8

Therefore the LCM of Fractions 162/888,2240/392 is 22680

Greatest Common Factor of 888,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,392 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 888,392 . The biggest common factor number is the GCF number.
So the greatest common factor 888,392 is 8.


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 162/888, 2240/392

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 162/888, 2240/392?

Answer: LCM of Numerators as per given numbers 162/888, 2240/392 is

LCM of Numerators i.e. for 162,2240 is 181440

GCF of denominators i.e. for 888,392 is 8.

Thus, LCM of Fractions is 22680.Finally, LCM of Fractions for 162/888, 2240/392 is 22680.