Least Common Multiple of 936/188, 4176/9809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/188, 4176/9809 quickly i.e. 54288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/188, 4176/9809 is 54288.

LCM(936/188, 4176/9809) = 54288

LCM of 936/188, 4176/9809

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 936/188,4176/9809

Given numbers are 936/188,4176/9809

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 936,4176

Least Common Multiple of Numerators i.e. LCM of 936,4176 is 54288.

GCF of Denominators means GCF of 188,9809 as per the given fractions.

GCF of 188,9809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,4176

LCM of Fractions 936/188,4176/9809 is 54288

2 936, 4176
2 468, 2088
2 234, 1044
3 117, 522
3 39, 174
13, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 58 = 54288

Least Common Multiple of 936,4176 with GCF Formula

Least Common Multiple of 936,4176 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 936,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,4176) = 72

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

GCF(936,4176) x common factors =72 x 1 = 72

LCM(936,4176) = ( 936 × 4176 ) / 72

LCM(936,4176) = 3908736 / 72

LCM(936,4176) = 54288


Lets's calculate GCF of 188,9809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54288/1

Therefore the LCM of Fractions 936/188,4176/9809 is 54288

Greatest Common Factor of 188,9809 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,9809 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1,17,577,9809

Greatest Common Factor

We found the factors 188,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 188,9809 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 936/188, 4176/9809

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 936/188, 4176/9809?

Answer: LCM of Numerators as per given numbers 936/188, 4176/9809 is

LCM of Numerators i.e. for 936,4176 is 54288

GCF of denominators i.e. for 188,9809 is 1.

Thus, LCM of Fractions is 54288.Finally, LCM of Fractions for 936/188, 4176/9809 is 54288.