Least Common Multiple of 663/74, 376/14, 162/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 663/74, 376/14, 162/96 quickly i.e. 3365388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/74, 376/14, 162/96 is 3365388.

LCM(663/74, 376/14, 162/96) = 3365388

LCM of 663/74, 376/14, 162/96

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 663/74,376/14,162/96

Given numbers are 663/74,376/14,162/96

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 663,376,162

Least Common Multiple of Numerators i.e. LCM of 663,376,162 is 6730776.

GCF of Denominators means GCF of 74,14,96 as per the given fractions.

GCF of 74,14,96 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,376,162

LCM of Fractions 663/74,376/14,162/96 is 3365388

2 663, 376, 162
3 663, 188, 81
221, 188, 27

∴ So the LCM of the given numbers is 2 x 3 x 221 x 188 x 27 = 6730776

Least Common Multiple of 663,376,162 with GCF Formula

Least Common Multiple of 663,376,162 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 663,376,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,376,162) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(663,376,162) x common factors =1 x 6 = 6

LCM(663,376,162) = ( 663 × 376 × 162 ) / 6

LCM(663,376,162) = 40384656 / 6

LCM(663,376,162) = 6730776


Lets's calculate GCF of 74,14,96

2 74, 14, 96
37, 7, 48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6730776/2

Therefore the LCM of Fractions 663/74,376/14,162/96 is 3365388

Greatest Common Factor of 74,14,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,14,96 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 74,14,96 . The biggest common factor number is the GCF number.
So the greatest common factor 74,14,96 is 2.


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 663/74, 376/14, 162/96

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 663/74, 376/14, 162/96?

Answer: LCM of Numerators as per given numbers 663/74, 376/14, 162/96 is

LCM of Numerators i.e. for 663,376,162 is 6730776

GCF of denominators i.e. for 74,14,96 is 2.

Thus, LCM of Fractions is 3365388.Finally, LCM of Fractions for 663/74, 376/14, 162/96 is 3365388.