Least Common Multiple of 692/368, 1423/2007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 692/368, 1423/2007 quickly i.e. 984716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/368, 1423/2007 is 984716.

LCM(692/368, 1423/2007) = 984716

LCM of 692/368, 1423/2007

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 692/368,1423/2007

Given numbers are 692/368,1423/2007

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 692,1423

Least Common Multiple of Numerators i.e. LCM of 692,1423 is 984716.

GCF of Denominators means GCF of 368,2007 as per the given fractions.

GCF of 368,2007 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,1423

LCM of Fractions 692/368,1423/2007 is 984716

Given numbers has no common factors except 1. So, there LCM is their product i.e 984716

Least Common Multiple of 692,1423 with GCF Formula

Least Common Multiple of 692,1423 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 692,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,1423) = 1

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

GCF(692,1423) x common factors =1 x 1 = 1

LCM(692,1423) = ( 692 × 1423 ) / 1

LCM(692,1423) = 984716 / 1

LCM(692,1423) = 984716


Lets's calculate GCF of 368,2007

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 984716/1

Therefore the LCM of Fractions 692/368,1423/2007 is 984716

Greatest Common Factor of 368,2007 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,2007 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Greatest Common Factor

We found the factors 368,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 368,2007 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 692/368, 1423/2007

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 692/368, 1423/2007?

Answer: LCM of Numerators as per given numbers 692/368, 1423/2007 is

LCM of Numerators i.e. for 692,1423 is 984716

GCF of denominators i.e. for 368,2007 is 1.

Thus, LCM of Fractions is 984716.Finally, LCM of Fractions for 692/368, 1423/2007 is 984716.