Least Common Multiple of 1719/994, 8413/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1719/994, 8413/923 quickly i.e. 14461947/71 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1719/994, 8413/923 is 14461947/71.

LCM(1719/994, 8413/923) = 14461947/71

LCM of 1719/994, 8413/923

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 1719/994,8413/923

Given numbers are 1719/994,8413/923

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 1719,8413

Least Common Multiple of Numerators i.e. LCM of 1719,8413 is 14461947.

GCF of Denominators means GCF of 994,923 as per the given fractions.

GCF of 994,923 is 71 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1719,8413

LCM of Fractions 1719/994,8413/923 is 14461947/71

Given numbers has no common factors except 1. So, there LCM is their product i.e 14461947

Least Common Multiple of 1719,8413 with GCF Formula

Least Common Multiple of 1719,8413 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 1719,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1719,8413) = 1

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

GCF(1719,8413) x common factors =1 x 1 = 1

LCM(1719,8413) = ( 1719 × 8413 ) / 1

LCM(1719,8413) = 14461947 / 1

LCM(1719,8413) = 14461947


Lets's calculate GCF of 994,923

71 994, 923
14, 13

∴ So the GCF of the given numbers is 71 = 71

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14461947/71

Therefore the LCM of Fractions 1719/994,8413/923 is 14461947/71

Greatest Common Factor of 994,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,923 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 994,923 . The biggest common factor number is the GCF number.
So the greatest common factor 994,923 is 71.


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 1719/994, 8413/923

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 1719/994, 8413/923?

Answer: LCM of Numerators as per given numbers 1719/994, 8413/923 is

LCM of Numerators i.e. for 1719,8413 is 14461947

GCF of denominators i.e. for 994,923 is 71.

Thus, LCM of Fractions is 14461947/71.Finally, LCM of Fractions for 1719/994, 8413/923 is 14461947/71.