Least Common Multiple of 14/20, 13/45, 84/34, 69/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/20, 13/45, 84/34, 69/123 quickly i.e. 25116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/20, 13/45, 84/34, 69/123 is 25116.

LCM(14/20, 13/45, 84/34, 69/123) = 25116

LCM of 14/20, 13/45, 84/34, 69/123

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 14/20,13/45,84/34,69/123

Given numbers are 14/20,13/45,84/34,69/123

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 14,13,84,69

Least Common Multiple of Numerators i.e. LCM of 14,13,84,69 is 25116.

GCF of Denominators means GCF of 20,45,34,123 as per the given fractions.

GCF of 20,45,34,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,13,84,69

LCM of Fractions 14/20,13/45,84/34,69/123 is 25116

2 14, 13, 84, 69
3 7, 13, 42, 69
7 7, 13, 14, 23
1, 13, 2, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 13 x 2 x 23 = 25116

Least Common Multiple of 14,13,84,69 with GCF Formula

Least Common Multiple of 14,13,84,69 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 14,13,84,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,13,84,69) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(14,13,84,69) x common factors =1 x 42 = 42

LCM(14,13,84,69) = ( 14 × 13 × 84 × 69 ) / 42

LCM(14,13,84,69) = 1054872 / 42

LCM(14,13,84,69) = 25116


Lets's calculate GCF of 20,45,34,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25116/1

Therefore the LCM of Fractions 14/20,13/45,84/34,69/123 is 25116

Greatest Common Factor of 20,45,34,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,45,34,123 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 20,45,34,123 . The biggest common factor number is the GCF number.
So the greatest common factor 20,45,34,123 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 14/20, 13/45, 84/34, 69/123

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 14/20, 13/45, 84/34, 69/123?

Answer: LCM of Numerators as per given numbers 14/20, 13/45, 84/34, 69/123 is

LCM of Numerators i.e. for 14,13,84,69 is 25116

GCF of denominators i.e. for 20,45,34,123 is 1.

Thus, LCM of Fractions is 25116.Finally, LCM of Fractions for 14/20, 13/45, 84/34, 69/123 is 25116.