Least Common Multiple of 691/46, 281/7230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/46, 281/7230 quickly i.e. 194171/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/46, 281/7230 is 194171/2.

LCM(691/46, 281/7230) = 194171/2

LCM of 691/46, 281/7230

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 691/46,281/7230

Given numbers are 691/46,281/7230

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 691,281

Least Common Multiple of Numerators i.e. LCM of 691,281 is 194171.

GCF of Denominators means GCF of 46,7230 as per the given fractions.

GCF of 46,7230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,281

LCM of Fractions 691/46,281/7230 is 194171/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 194171

Least Common Multiple of 691,281 with GCF Formula

Least Common Multiple of 691,281 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 691,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,281) = 1

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

GCF(691,281) x common factors =1 x 1 = 1

LCM(691,281) = ( 691 × 281 ) / 1

LCM(691,281) = 194171 / 1

LCM(691,281) = 194171


Lets's calculate GCF of 46,7230

2 46, 7230
23, 3615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194171/2

Therefore the LCM of Fractions 691/46,281/7230 is 194171/2

Greatest Common Factor of 46,7230 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,7230 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Greatest Common Factor

We found the factors 46,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7230 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 691/46, 281/7230

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 691/46, 281/7230?

Answer: LCM of Numerators as per given numbers 691/46, 281/7230 is

LCM of Numerators i.e. for 691,281 is 194171

GCF of denominators i.e. for 46,7230 is 2.

Thus, LCM of Fractions is 194171/2.Finally, LCM of Fractions for 691/46, 281/7230 is 194171/2.