Least Common Multiple of 284/724, 1089/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/724, 1089/358 quickly i.e. 154638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/724, 1089/358 is 154638.

LCM(284/724, 1089/358) = 154638

LCM of 284/724, 1089/358

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 284/724,1089/358

Given numbers are 284/724,1089/358

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 284,1089

Least Common Multiple of Numerators i.e. LCM of 284,1089 is 309276.

GCF of Denominators means GCF of 724,358 as per the given fractions.

GCF of 724,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,1089

LCM of Fractions 284/724,1089/358 is 154638

Given numbers has no common factors except 1. So, there LCM is their product i.e 309276

Least Common Multiple of 284,1089 with GCF Formula

Least Common Multiple of 284,1089 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 284,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,1089) = 1

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

GCF(284,1089) x common factors =1 x 1 = 1

LCM(284,1089) = ( 284 × 1089 ) / 1

LCM(284,1089) = 309276 / 1

LCM(284,1089) = 309276


Lets's calculate GCF of 724,358

2 724, 358
362, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309276/2

Therefore the LCM of Fractions 284/724,1089/358 is 154638

Greatest Common Factor of 724,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,358 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 724,358 . The biggest common factor number is the GCF number.
So the greatest common factor 724,358 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 284/724, 1089/358

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 284/724, 1089/358?

Answer: LCM of Numerators as per given numbers 284/724, 1089/358 is

LCM of Numerators i.e. for 284,1089 is 309276

GCF of denominators i.e. for 724,358 is 2.

Thus, LCM of Fractions is 154638.Finally, LCM of Fractions for 284/724, 1089/358 is 154638.