Least Common Multiple of 42/290, 69/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/290, 69/667 quickly i.e. 966/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/290, 69/667 is 966/29.

LCM(42/290, 69/667) = 966/29

LCM of 42/290, 69/667

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 42/290,69/667

Given numbers are 42/290,69/667

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 42,69

Least Common Multiple of Numerators i.e. LCM of 42,69 is 966.

GCF of Denominators means GCF of 290,667 as per the given fractions.

GCF of 290,667 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,69

LCM of Fractions 42/290,69/667 is 966/29

3 42, 69
14, 23

∴ So the LCM of the given numbers is 3 x 14 x 23 = 966

Least Common Multiple of 42,69 with GCF Formula

Least Common Multiple of 42,69 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 42,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,69) = 3

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

GCF(42,69) x common factors =3 x 1 = 3

LCM(42,69) = ( 42 × 69 ) / 3

LCM(42,69) = 2898 / 3

LCM(42,69) = 966


Lets's calculate GCF of 290,667

29 290, 667
10, 23

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 966/29

Therefore the LCM of Fractions 42/290,69/667 is 966/29

Greatest Common Factor of 290,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,667 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 290,667 . The biggest common factor number is the GCF number.
So the greatest common factor 290,667 is 29.


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 42/290, 69/667

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 42/290, 69/667?

Answer: LCM of Numerators as per given numbers 42/290, 69/667 is

LCM of Numerators i.e. for 42,69 is 966

GCF of denominators i.e. for 290,667 is 29.

Thus, LCM of Fractions is 966/29.Finally, LCM of Fractions for 42/290, 69/667 is 966/29.