Least Common Multiple of 84/544, 15/889, 184/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/544, 15/889, 184/288 quickly i.e. 19320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/544, 15/889, 184/288 is 19320.

LCM(84/544, 15/889, 184/288) = 19320

LCM of 84/544, 15/889, 184/288

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 84/544,15/889,184/288

Given numbers are 84/544,15/889,184/288

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 84,15,184

Least Common Multiple of Numerators i.e. LCM of 84,15,184 is 19320.

GCF of Denominators means GCF of 544,889,288 as per the given fractions.

GCF of 544,889,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,15,184

LCM of Fractions 84/544,15/889,184/288 is 19320

2 84, 15, 184
2 42, 15, 92
3 21, 15, 46
7, 5, 46

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 46 = 19320

Least Common Multiple of 84,15,184 with GCF Formula

Least Common Multiple of 84,15,184 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 84,15,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,15,184) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,15,184) x common factors =1 x 12 = 12

LCM(84,15,184) = ( 84 × 15 × 184 ) / 12

LCM(84,15,184) = 231840 / 12

LCM(84,15,184) = 19320


Lets's calculate GCF of 544,889,288

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19320/1

Therefore the LCM of Fractions 84/544,15/889,184/288 is 19320

Greatest Common Factor of 544,889,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,889,288 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 544,889,288 . The biggest common factor number is the GCF number.
So the greatest common factor 544,889,288 is 1.


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 84/544, 15/889, 184/288

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 84/544, 15/889, 184/288?

Answer: LCM of Numerators as per given numbers 84/544, 15/889, 184/288 is

LCM of Numerators i.e. for 84,15,184 is 19320

GCF of denominators i.e. for 544,889,288 is 1.

Thus, LCM of Fractions is 19320.Finally, LCM of Fractions for 84/544, 15/889, 184/288 is 19320.