Least Common Multiple of 738/390, 1184/4916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/390, 1184/4916 quickly i.e. 218448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/390, 1184/4916 is 218448.

LCM(738/390, 1184/4916) = 218448

LCM of 738/390, 1184/4916

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 738/390,1184/4916

Given numbers are 738/390,1184/4916

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 738,1184

Least Common Multiple of Numerators i.e. LCM of 738,1184 is 436896.

GCF of Denominators means GCF of 390,4916 as per the given fractions.

GCF of 390,4916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,1184

LCM of Fractions 738/390,1184/4916 is 218448

2 738, 1184
369, 592

∴ So the LCM of the given numbers is 2 x 369 x 592 = 436896

Least Common Multiple of 738,1184 with GCF Formula

Least Common Multiple of 738,1184 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 738,1184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,1184) = 2

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

GCF(738,1184) x common factors =2 x 1 = 2

LCM(738,1184) = ( 738 × 1184 ) / 2

LCM(738,1184) = 873792 / 2

LCM(738,1184) = 436896


Lets's calculate GCF of 390,4916

2 390, 4916
195, 2458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436896/2

Therefore the LCM of Fractions 738/390,1184/4916 is 218448

Greatest Common Factor of 390,4916 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,4916 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 4916

List of positive integer factors of 4916 that divides 4916 without a remainder.

1,2,4,1229,2458,4916

Greatest Common Factor

We found the factors 390,4916 . The biggest common factor number is the GCF number.
So the greatest common factor 390,4916 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 738/390, 1184/4916

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 738/390, 1184/4916?

Answer: LCM of Numerators as per given numbers 738/390, 1184/4916 is

LCM of Numerators i.e. for 738,1184 is 436896

GCF of denominators i.e. for 390,4916 is 2.

Thus, LCM of Fractions is 218448.Finally, LCM of Fractions for 738/390, 1184/4916 is 218448.