Least Common Multiple of 20/169, 5462/3032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/169, 5462/3032 quickly i.e. 54620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/169, 5462/3032 is 54620.

LCM(20/169, 5462/3032) = 54620

LCM of 20/169, 5462/3032

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 20/169,5462/3032

Given numbers are 20/169,5462/3032

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 20,5462

Least Common Multiple of Numerators i.e. LCM of 20,5462 is 54620.

GCF of Denominators means GCF of 169,3032 as per the given fractions.

GCF of 169,3032 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,5462

LCM of Fractions 20/169,5462/3032 is 54620

2 20, 5462
10, 2731

∴ So the LCM of the given numbers is 2 x 10 x 2731 = 54620

Least Common Multiple of 20,5462 with GCF Formula

Least Common Multiple of 20,5462 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 20,5462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,5462) = 2

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

GCF(20,5462) x common factors =2 x 1 = 2

LCM(20,5462) = ( 20 × 5462 ) / 2

LCM(20,5462) = 109240 / 2

LCM(20,5462) = 54620


Lets's calculate GCF of 169,3032

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54620/1

Therefore the LCM of Fractions 20/169,5462/3032 is 54620

Greatest Common Factor of 169,3032 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,3032 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors 169,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 169,3032 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 20/169, 5462/3032

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 20/169, 5462/3032?

Answer: LCM of Numerators as per given numbers 20/169, 5462/3032 is

LCM of Numerators i.e. for 20,5462 is 54620

GCF of denominators i.e. for 169,3032 is 1.

Thus, LCM of Fractions is 54620.Finally, LCM of Fractions for 20/169, 5462/3032 is 54620.