Least Common Multiple of 7084/738, 4818/1452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7084/738, 4818/1452 quickly i.e. 258566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7084/738, 4818/1452 is 258566.

LCM(7084/738, 4818/1452) = 258566

LCM of 7084/738, 4818/1452

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 7084/738,4818/1452

Given numbers are 7084/738,4818/1452

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 7084,4818

Least Common Multiple of Numerators i.e. LCM of 7084,4818 is 1551396.

GCF of Denominators means GCF of 738,1452 as per the given fractions.

GCF of 738,1452 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7084,4818

LCM of Fractions 7084/738,4818/1452 is 258566

2 7084, 4818
11 3542, 2409
322, 219

∴ So the LCM of the given numbers is 2 x 11 x 322 x 219 = 1551396

Least Common Multiple of 7084,4818 with GCF Formula

Least Common Multiple of 7084,4818 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 7084,4818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7084,4818) = 22

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

GCF(7084,4818) x common factors =22 x 1 = 22

LCM(7084,4818) = ( 7084 × 4818 ) / 22

LCM(7084,4818) = 34130712 / 22

LCM(7084,4818) = 1551396


Lets's calculate GCF of 738,1452

2 738, 1452
3 369, 726
123, 242

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1551396/6

Therefore the LCM of Fractions 7084/738,4818/1452 is 258566

Greatest Common Factor of 738,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,1452 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 738,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 738,1452 is 6.


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 7084/738, 4818/1452

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 7084/738, 4818/1452?

Answer: LCM of Numerators as per given numbers 7084/738, 4818/1452 is

LCM of Numerators i.e. for 7084,4818 is 1551396

GCF of denominators i.e. for 738,1452 is 6.

Thus, LCM of Fractions is 258566.Finally, LCM of Fractions for 7084/738, 4818/1452 is 258566.