Least Common Multiple of 1524/933, 4418/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1524/933, 4418/431 quickly i.e. 3366516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1524/933, 4418/431 is 3366516.

LCM(1524/933, 4418/431) = 3366516

LCM of 1524/933, 4418/431

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 1524/933,4418/431

Given numbers are 1524/933,4418/431

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 1524,4418

Least Common Multiple of Numerators i.e. LCM of 1524,4418 is 3366516.

GCF of Denominators means GCF of 933,431 as per the given fractions.

GCF of 933,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1524,4418

LCM of Fractions 1524/933,4418/431 is 3366516

2 1524, 4418
762, 2209

∴ So the LCM of the given numbers is 2 x 762 x 2209 = 3366516

Least Common Multiple of 1524,4418 with GCF Formula

Least Common Multiple of 1524,4418 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 1524,4418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1524,4418) = 2

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

GCF(1524,4418) x common factors =2 x 1 = 2

LCM(1524,4418) = ( 1524 × 4418 ) / 2

LCM(1524,4418) = 6733032 / 2

LCM(1524,4418) = 3366516


Lets's calculate GCF of 933,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3366516/1

Therefore the LCM of Fractions 1524/933,4418/431 is 3366516

Greatest Common Factor of 933,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,431 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 933,431 . The biggest common factor number is the GCF number.
So the greatest common factor 933,431 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1524/933, 4418/431

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 1524/933, 4418/431?

Answer: LCM of Numerators as per given numbers 1524/933, 4418/431 is

LCM of Numerators i.e. for 1524,4418 is 3366516

GCF of denominators i.e. for 933,431 is 1.

Thus, LCM of Fractions is 3366516.Finally, LCM of Fractions for 1524/933, 4418/431 is 3366516.