Least Common Multiple of 39/169, 5742/4803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/169, 5742/4803 quickly i.e. 74646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/169, 5742/4803 is 74646.

LCM(39/169, 5742/4803) = 74646

LCM of 39/169, 5742/4803

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 39/169,5742/4803

Given numbers are 39/169,5742/4803

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 39,5742

Least Common Multiple of Numerators i.e. LCM of 39,5742 is 74646.

GCF of Denominators means GCF of 169,4803 as per the given fractions.

GCF of 169,4803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,5742

LCM of Fractions 39/169,5742/4803 is 74646

3 39, 5742
13, 1914

∴ So the LCM of the given numbers is 3 x 13 x 1914 = 74646

Least Common Multiple of 39,5742 with GCF Formula

Least Common Multiple of 39,5742 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 39,5742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,5742) = 3

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

GCF(39,5742) x common factors =3 x 1 = 3

LCM(39,5742) = ( 39 × 5742 ) / 3

LCM(39,5742) = 223938 / 3

LCM(39,5742) = 74646


Lets's calculate GCF of 169,4803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74646/1

Therefore the LCM of Fractions 39/169,5742/4803 is 74646

Greatest Common Factor of 169,4803 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,4803 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 4803

List of positive integer factors of 4803 that divides 4803 without a remainder.

1,3,1601,4803

Greatest Common Factor

We found the factors 169,4803 . The biggest common factor number is the GCF number.
So the greatest common factor 169,4803 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 39/169, 5742/4803

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 39/169, 5742/4803?

Answer: LCM of Numerators as per given numbers 39/169, 5742/4803 is

LCM of Numerators i.e. for 39,5742 is 74646

GCF of denominators i.e. for 169,4803 is 1.

Thus, LCM of Fractions is 74646.Finally, LCM of Fractions for 39/169, 5742/4803 is 74646.