Least Common Multiple of 69/87, 58/72, 14/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/87, 58/72, 14/234 quickly i.e. 9338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/87, 58/72, 14/234 is 9338.

LCM(69/87, 58/72, 14/234) = 9338

LCM of 69/87, 58/72, 14/234

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 69/87,58/72,14/234

Given numbers are 69/87,58/72,14/234

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 69,58,14

Least Common Multiple of Numerators i.e. LCM of 69,58,14 is 28014.

GCF of Denominators means GCF of 87,72,234 as per the given fractions.

GCF of 87,72,234 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,58,14

LCM of Fractions 69/87,58/72,14/234 is 9338

2 69, 58, 14
69, 29, 7

∴ So the LCM of the given numbers is 2 x 69 x 29 x 7 = 28014

Least Common Multiple of 69,58,14 with GCF Formula

Least Common Multiple of 69,58,14 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 69,58,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,58,14) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(69,58,14) x common factors =1 x 2 = 2

LCM(69,58,14) = ( 69 × 58 × 14 ) / 2

LCM(69,58,14) = 56028 / 2

LCM(69,58,14) = 28014


Lets's calculate GCF of 87,72,234

3 87, 72, 234
29, 24, 78

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28014/3

Therefore the LCM of Fractions 69/87,58/72,14/234 is 9338

Greatest Common Factor of 87,72,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,72,234 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 87,72,234 . The biggest common factor number is the GCF number.
So the greatest common factor 87,72,234 is 3.


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 69/87, 58/72, 14/234

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 69/87, 58/72, 14/234?

Answer: LCM of Numerators as per given numbers 69/87, 58/72, 14/234 is

LCM of Numerators i.e. for 69,58,14 is 28014

GCF of denominators i.e. for 87,72,234 is 3.

Thus, LCM of Fractions is 9338.Finally, LCM of Fractions for 69/87, 58/72, 14/234 is 9338.