Least Common Multiple of 2438/545, 4192/2395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2438/545, 4192/2395 quickly i.e. 5110048/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2438/545, 4192/2395 is 5110048/5.

LCM(2438/545, 4192/2395) = 5110048/5

LCM of 2438/545, 4192/2395

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 2438/545,4192/2395

Given numbers are 2438/545,4192/2395

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 2438,4192

Least Common Multiple of Numerators i.e. LCM of 2438,4192 is 5110048.

GCF of Denominators means GCF of 545,2395 as per the given fractions.

GCF of 545,2395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2438,4192

LCM of Fractions 2438/545,4192/2395 is 5110048/5

2 2438, 4192
1219, 2096

∴ So the LCM of the given numbers is 2 x 1219 x 2096 = 5110048

Least Common Multiple of 2438,4192 with GCF Formula

Least Common Multiple of 2438,4192 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 2438,4192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2438,4192) = 2

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

GCF(2438,4192) x common factors =2 x 1 = 2

LCM(2438,4192) = ( 2438 × 4192 ) / 2

LCM(2438,4192) = 10220096 / 2

LCM(2438,4192) = 5110048


Lets's calculate GCF of 545,2395

5 545, 2395
109, 479

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5110048/5

Therefore the LCM of Fractions 2438/545,4192/2395 is 5110048/5

Greatest Common Factor of 545,2395 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,2395 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 2395

List of positive integer factors of 2395 that divides 2395 without a remainder.

1,5,479,2395

Greatest Common Factor

We found the factors 545,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 545,2395 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2438/545, 4192/2395

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 2438/545, 4192/2395?

Answer: LCM of Numerators as per given numbers 2438/545, 4192/2395 is

LCM of Numerators i.e. for 2438,4192 is 5110048

GCF of denominators i.e. for 545,2395 is 5.

Thus, LCM of Fractions is 5110048/5.Finally, LCM of Fractions for 2438/545, 4192/2395 is 5110048/5.