Least Common Multiple of 5325/434, 4208/1296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5325/434, 4208/1296 quickly i.e. 11203800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5325/434, 4208/1296 is 11203800.

LCM(5325/434, 4208/1296) = 11203800

LCM of 5325/434, 4208/1296

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 5325/434,4208/1296

Given numbers are 5325/434,4208/1296

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 5325,4208

Least Common Multiple of Numerators i.e. LCM of 5325,4208 is 22407600.

GCF of Denominators means GCF of 434,1296 as per the given fractions.

GCF of 434,1296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5325,4208

LCM of Fractions 5325/434,4208/1296 is 11203800

Given numbers has no common factors except 1. So, there LCM is their product i.e 22407600

Least Common Multiple of 5325,4208 with GCF Formula

Least Common Multiple of 5325,4208 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 5325,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5325,4208) = 1

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

GCF(5325,4208) x common factors =1 x 1 = 1

LCM(5325,4208) = ( 5325 × 4208 ) / 1

LCM(5325,4208) = 22407600 / 1

LCM(5325,4208) = 22407600


Lets's calculate GCF of 434,1296

2 434, 1296
217, 648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22407600/2

Therefore the LCM of Fractions 5325/434,4208/1296 is 11203800

Greatest Common Factor of 434,1296 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,1296 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Greatest Common Factor

We found the factors 434,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 434,1296 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 5325/434, 4208/1296

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 5325/434, 4208/1296?

Answer: LCM of Numerators as per given numbers 5325/434, 4208/1296 is

LCM of Numerators i.e. for 5325,4208 is 22407600

GCF of denominators i.e. for 434,1296 is 2.

Thus, LCM of Fractions is 11203800.Finally, LCM of Fractions for 5325/434, 4208/1296 is 11203800.