Least Common Multiple of 69/627, 29/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/627, 29/342 quickly i.e. 2001/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/627, 29/342 is 2001/57.

LCM(69/627, 29/342) = 2001/57

LCM of 69/627, 29/342

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 69/627,29/342

Given numbers are 69/627,29/342

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 69,29

Least Common Multiple of Numerators i.e. LCM of 69,29 is 2001.

GCF of Denominators means GCF of 627,342 as per the given fractions.

GCF of 627,342 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,29

LCM of Fractions 69/627,29/342 is 2001/57

Given numbers has no common factors except 1. So, there LCM is their product i.e 2001

Least Common Multiple of 69,29 with GCF Formula

Least Common Multiple of 69,29 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 69,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,29) = 1

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

GCF(69,29) x common factors =1 x 1 = 1

LCM(69,29) = ( 69 × 29 ) / 1

LCM(69,29) = 2001 / 1

LCM(69,29) = 2001


Lets's calculate GCF of 627,342

3 627, 342
19 209, 114
11, 6

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2001/57

Therefore the LCM of Fractions 69/627,29/342 is 2001/57

Greatest Common Factor of 627,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,342 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 627,342 . The biggest common factor number is the GCF number.
So the greatest common factor 627,342 is 57.


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 69/627, 29/342

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 69/627, 29/342?

Answer: LCM of Numerators as per given numbers 69/627, 29/342 is

LCM of Numerators i.e. for 69,29 is 2001

GCF of denominators i.e. for 627,342 is 57.

Thus, LCM of Fractions is 2001/57.Finally, LCM of Fractions for 69/627, 29/342 is 2001/57.