Least Common Multiple of 284/272, 3924/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/272, 3924/178 quickly i.e. 139302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/272, 3924/178 is 139302.

LCM(284/272, 3924/178) = 139302

LCM of 284/272, 3924/178

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 284/272,3924/178

Given numbers are 284/272,3924/178

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 284,3924

Least Common Multiple of Numerators i.e. LCM of 284,3924 is 278604.

GCF of Denominators means GCF of 272,178 as per the given fractions.

GCF of 272,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,3924

LCM of Fractions 284/272,3924/178 is 139302

2 284, 3924
2 142, 1962
71, 981

∴ So the LCM of the given numbers is 2 x 2 x 71 x 981 = 278604

Least Common Multiple of 284,3924 with GCF Formula

Least Common Multiple of 284,3924 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 284,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,3924) = 4

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

GCF(284,3924) x common factors =4 x 1 = 4

LCM(284,3924) = ( 284 × 3924 ) / 4

LCM(284,3924) = 1114416 / 4

LCM(284,3924) = 278604


Lets's calculate GCF of 272,178

2 272, 178
136, 89

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278604/2

Therefore the LCM of Fractions 284/272,3924/178 is 139302

Greatest Common Factor of 272,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,178 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 272,178 . The biggest common factor number is the GCF number.
So the greatest common factor 272,178 is 2.


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 284/272, 3924/178

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 284/272, 3924/178?

Answer: LCM of Numerators as per given numbers 284/272, 3924/178 is

LCM of Numerators i.e. for 284,3924 is 278604

GCF of denominators i.e. for 272,178 is 2.

Thus, LCM of Fractions is 139302.Finally, LCM of Fractions for 284/272, 3924/178 is 139302.