Least Common Multiple of 14/96, 43/604, 205/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/96, 43/604, 205/472 quickly i.e. 123410/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/96, 43/604, 205/472 is 123410/4.

LCM(14/96, 43/604, 205/472) = 123410/4

LCM of 14/96, 43/604, 205/472

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 14/96,43/604,205/472

Given numbers are 14/96,43/604,205/472

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 14,43,205

Least Common Multiple of Numerators i.e. LCM of 14,43,205 is 123410.

GCF of Denominators means GCF of 96,604,472 as per the given fractions.

GCF of 96,604,472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,43,205

LCM of Fractions 14/96,43/604,205/472 is 123410/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 123410

Least Common Multiple of 14,43,205 with GCF Formula

Least Common Multiple of 14,43,205 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 14,43,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,43,205) = 1

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

GCF(14,43,205) x common factors =1 x 1 = 1

LCM(14,43,205) = ( 14 × 43 × 205 ) / 1

LCM(14,43,205) = 123410 / 1

LCM(14,43,205) = 123410


Lets's calculate GCF of 96,604,472

2 96, 604, 472
2 48, 302, 236
24, 151, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123410/4

Therefore the LCM of Fractions 14/96,43/604,205/472 is 123410/4

Greatest Common Factor of 96,604,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,604,472 By Matching Biggest Common Factor Method

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

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 96,604,472 . The biggest common factor number is the GCF number.
So the greatest common factor 96,604,472 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 14/96, 43/604, 205/472

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 14/96, 43/604, 205/472?

Answer: LCM of Numerators as per given numbers 14/96, 43/604, 205/472 is

LCM of Numerators i.e. for 14,43,205 is 123410

GCF of denominators i.e. for 96,604,472 is 4.

Thus, LCM of Fractions is 123410/4.Finally, LCM of Fractions for 14/96, 43/604, 205/472 is 123410/4.