Least Common Multiple of 6989/163, 1584/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6989/163, 1584/923 quickly i.e. 11070576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6989/163, 1584/923 is 11070576.

LCM(6989/163, 1584/923) = 11070576

LCM of 6989/163, 1584/923

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 6989/163,1584/923

Given numbers are 6989/163,1584/923

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 6989,1584

Least Common Multiple of Numerators i.e. LCM of 6989,1584 is 11070576.

GCF of Denominators means GCF of 163,923 as per the given fractions.

GCF of 163,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6989,1584

LCM of Fractions 6989/163,1584/923 is 11070576

Given numbers has no common factors except 1. So, there LCM is their product i.e 11070576

Least Common Multiple of 6989,1584 with GCF Formula

Least Common Multiple of 6989,1584 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 6989,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6989,1584) = 1

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

GCF(6989,1584) x common factors =1 x 1 = 1

LCM(6989,1584) = ( 6989 × 1584 ) / 1

LCM(6989,1584) = 11070576 / 1

LCM(6989,1584) = 11070576


Lets's calculate GCF of 163,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11070576/1

Therefore the LCM of Fractions 6989/163,1584/923 is 11070576

Greatest Common Factor of 163,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,923 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

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 163,923 . The biggest common factor number is the GCF number.
So the greatest common factor 163,923 is 1.


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 6989/163, 1584/923

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 6989/163, 1584/923?

Answer: LCM of Numerators as per given numbers 6989/163, 1584/923 is

LCM of Numerators i.e. for 6989,1584 is 11070576

GCF of denominators i.e. for 163,923 is 1.

Thus, LCM of Fractions is 11070576.Finally, LCM of Fractions for 6989/163, 1584/923 is 11070576.