Least Common Multiple of 438/91, 281/4141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 438/91, 281/4141 quickly i.e. 123078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/91, 281/4141 is 123078.

LCM(438/91, 281/4141) = 123078

LCM of 438/91, 281/4141

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 438/91,281/4141

Given numbers are 438/91,281/4141

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 438,281

Least Common Multiple of Numerators i.e. LCM of 438,281 is 123078.

GCF of Denominators means GCF of 91,4141 as per the given fractions.

GCF of 91,4141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,281

LCM of Fractions 438/91,281/4141 is 123078

Given numbers has no common factors except 1. So, there LCM is their product i.e 123078

Least Common Multiple of 438,281 with GCF Formula

Least Common Multiple of 438,281 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 438,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,281) = 1

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

GCF(438,281) x common factors =1 x 1 = 1

LCM(438,281) = ( 438 × 281 ) / 1

LCM(438,281) = 123078 / 1

LCM(438,281) = 123078


Lets's calculate GCF of 91,4141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123078/1

Therefore the LCM of Fractions 438/91,281/4141 is 123078

Greatest Common Factor of 91,4141 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,4141 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 4141

List of positive integer factors of 4141 that divides 4141 without a remainder.

1,41,101,4141

Greatest Common Factor

We found the factors 91,4141 . The biggest common factor number is the GCF number.
So the greatest common factor 91,4141 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 438/91, 281/4141

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 438/91, 281/4141?

Answer: LCM of Numerators as per given numbers 438/91, 281/4141 is

LCM of Numerators i.e. for 438,281 is 123078

GCF of denominators i.e. for 91,4141 is 1.

Thus, LCM of Fractions is 123078.Finally, LCM of Fractions for 438/91, 281/4141 is 123078.