Least Common Multiple of 42/269, 1669/7431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/269, 1669/7431 quickly i.e. 70098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/269, 1669/7431 is 70098.

LCM(42/269, 1669/7431) = 70098

LCM of 42/269, 1669/7431

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 42/269,1669/7431

Given numbers are 42/269,1669/7431

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 42,1669

Least Common Multiple of Numerators i.e. LCM of 42,1669 is 70098.

GCF of Denominators means GCF of 269,7431 as per the given fractions.

GCF of 269,7431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,1669

LCM of Fractions 42/269,1669/7431 is 70098

Given numbers has no common factors except 1. So, there LCM is their product i.e 70098

Least Common Multiple of 42,1669 with GCF Formula

Least Common Multiple of 42,1669 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 42,1669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1669) = 1

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

GCF(42,1669) x common factors =1 x 1 = 1

LCM(42,1669) = ( 42 × 1669 ) / 1

LCM(42,1669) = 70098 / 1

LCM(42,1669) = 70098


Lets's calculate GCF of 269,7431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70098/1

Therefore the LCM of Fractions 42/269,1669/7431 is 70098

Greatest Common Factor of 269,7431 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,7431 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 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1,3,2477,7431

Greatest Common Factor

We found the factors 269,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 269,7431 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 42/269, 1669/7431

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 42/269, 1669/7431?

Answer: LCM of Numerators as per given numbers 42/269, 1669/7431 is

LCM of Numerators i.e. for 42,1669 is 70098

GCF of denominators i.e. for 269,7431 is 1.

Thus, LCM of Fractions is 70098.Finally, LCM of Fractions for 42/269, 1669/7431 is 70098.