Least Common Multiple of 418/269, 3631/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 418/269, 3631/433 quickly i.e. 1517758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 418/269, 3631/433 is 1517758.

LCM(418/269, 3631/433) = 1517758

LCM of 418/269, 3631/433

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 418/269,3631/433

Given numbers are 418/269,3631/433

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 418,3631

Least Common Multiple of Numerators i.e. LCM of 418,3631 is 1517758.

GCF of Denominators means GCF of 269,433 as per the given fractions.

GCF of 269,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 418,3631

LCM of Fractions 418/269,3631/433 is 1517758

Given numbers has no common factors except 1. So, there LCM is their product i.e 1517758

Least Common Multiple of 418,3631 with GCF Formula

Least Common Multiple of 418,3631 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 418,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,3631) = 1

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

GCF(418,3631) x common factors =1 x 1 = 1

LCM(418,3631) = ( 418 × 3631 ) / 1

LCM(418,3631) = 1517758 / 1

LCM(418,3631) = 1517758


Lets's calculate GCF of 269,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1517758/1

Therefore the LCM of Fractions 418/269,3631/433 is 1517758

Greatest Common Factor of 269,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,433 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 269,433 . The biggest common factor number is the GCF number.
So the greatest common factor 269,433 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 418/269, 3631/433

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 418/269, 3631/433?

Answer: LCM of Numerators as per given numbers 418/269, 3631/433 is

LCM of Numerators i.e. for 418,3631 is 1517758

GCF of denominators i.e. for 269,433 is 1.

Thus, LCM of Fractions is 1517758.Finally, LCM of Fractions for 418/269, 3631/433 is 1517758.