Least Common Multiple of 14/184, 824/736, 530/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/184, 824/736, 530/897 quickly i.e. 1528520/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/184, 824/736, 530/897 is 1528520/23.

LCM(14/184, 824/736, 530/897) = 1528520/23

LCM of 14/184, 824/736, 530/897

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 14/184,824/736,530/897

Given numbers are 14/184,824/736,530/897

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 14,824,530

Least Common Multiple of Numerators i.e. LCM of 14,824,530 is 1528520.

GCF of Denominators means GCF of 184,736,897 as per the given fractions.

GCF of 184,736,897 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,824,530

LCM of Fractions 14/184,824/736,530/897 is 1528520/23

2 14, 824, 530
7, 412, 265

∴ So the LCM of the given numbers is 2 x 7 x 412 x 265 = 1528520

Least Common Multiple of 14,824,530 with GCF Formula

Least Common Multiple of 14,824,530 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 14,824,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,824,530) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,824,530) x common factors =2 x 2 = 4

LCM(14,824,530) = ( 14 × 824 × 530 ) / 4

LCM(14,824,530) = 6114080 / 4

LCM(14,824,530) = 1528520


Lets's calculate GCF of 184,736,897

23 184, 736, 897
8, 32, 39

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528520/23

Therefore the LCM of Fractions 14/184,824/736,530/897 is 1528520/23

Greatest Common Factor of 184,736,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,736,897 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 184,736,897 . The biggest common factor number is the GCF number.
So the greatest common factor 184,736,897 is 23.


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 14/184, 824/736, 530/897

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 14/184, 824/736, 530/897?

Answer: LCM of Numerators as per given numbers 14/184, 824/736, 530/897 is

LCM of Numerators i.e. for 14,824,530 is 1528520

GCF of denominators i.e. for 184,736,897 is 23.

Thus, LCM of Fractions is 1528520/23.Finally, LCM of Fractions for 14/184, 824/736, 530/897 is 1528520/23.