Least Common Multiple of 4314/534, 8532/2389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4314/534, 8532/2389 quickly i.e. 6134508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4314/534, 8532/2389 is 6134508.

LCM(4314/534, 8532/2389) = 6134508

LCM of 4314/534, 8532/2389

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 4314/534,8532/2389

Given numbers are 4314/534,8532/2389

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 4314,8532

Least Common Multiple of Numerators i.e. LCM of 4314,8532 is 6134508.

GCF of Denominators means GCF of 534,2389 as per the given fractions.

GCF of 534,2389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4314,8532

LCM of Fractions 4314/534,8532/2389 is 6134508

2 4314, 8532
3 2157, 4266
719, 1422

∴ So the LCM of the given numbers is 2 x 3 x 719 x 1422 = 6134508

Least Common Multiple of 4314,8532 with GCF Formula

Least Common Multiple of 4314,8532 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 4314,8532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4314,8532) = 6

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

GCF(4314,8532) x common factors =6 x 1 = 6

LCM(4314,8532) = ( 4314 × 8532 ) / 6

LCM(4314,8532) = 36807048 / 6

LCM(4314,8532) = 6134508


Lets's calculate GCF of 534,2389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6134508/1

Therefore the LCM of Fractions 4314/534,8532/2389 is 6134508

Greatest Common Factor of 534,2389 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,2389 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 2389

List of positive integer factors of 2389 that divides 2389 without a remainder.

1,2389

Greatest Common Factor

We found the factors 534,2389 . The biggest common factor number is the GCF number.
So the greatest common factor 534,2389 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 4314/534, 8532/2389

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 4314/534, 8532/2389?

Answer: LCM of Numerators as per given numbers 4314/534, 8532/2389 is

LCM of Numerators i.e. for 4314,8532 is 6134508

GCF of denominators i.e. for 534,2389 is 1.

Thus, LCM of Fractions is 6134508.Finally, LCM of Fractions for 4314/534, 8532/2389 is 6134508.