Least Common Multiple of 5432/255, 4348/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5432/255, 4348/458 quickly i.e. 5904584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5432/255, 4348/458 is 5904584.

LCM(5432/255, 4348/458) = 5904584

LCM of 5432/255, 4348/458

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 5432/255,4348/458

Given numbers are 5432/255,4348/458

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 5432,4348

Least Common Multiple of Numerators i.e. LCM of 5432,4348 is 5904584.

GCF of Denominators means GCF of 255,458 as per the given fractions.

GCF of 255,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5432,4348

LCM of Fractions 5432/255,4348/458 is 5904584

2 5432, 4348
2 2716, 2174
1358, 1087

∴ So the LCM of the given numbers is 2 x 2 x 1358 x 1087 = 5904584

Least Common Multiple of 5432,4348 with GCF Formula

Least Common Multiple of 5432,4348 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 5432,4348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5432,4348) = 4

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

GCF(5432,4348) x common factors =4 x 1 = 4

LCM(5432,4348) = ( 5432 × 4348 ) / 4

LCM(5432,4348) = 23618336 / 4

LCM(5432,4348) = 5904584


Lets's calculate GCF of 255,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5904584/1

Therefore the LCM of Fractions 5432/255,4348/458 is 5904584

Greatest Common Factor of 255,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,458 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 255,458 . The biggest common factor number is the GCF number.
So the greatest common factor 255,458 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 5432/255, 4348/458

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 5432/255, 4348/458?

Answer: LCM of Numerators as per given numbers 5432/255, 4348/458 is

LCM of Numerators i.e. for 5432,4348 is 5904584

GCF of denominators i.e. for 255,458 is 1.

Thus, LCM of Fractions is 5904584.Finally, LCM of Fractions for 5432/255, 4348/458 is 5904584.