Least Common Multiple of 69/892, 8576/2018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/892, 8576/2018 quickly i.e. 295872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/892, 8576/2018 is 295872.

LCM(69/892, 8576/2018) = 295872

LCM of 69/892, 8576/2018

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 69/892,8576/2018

Given numbers are 69/892,8576/2018

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 69,8576

Least Common Multiple of Numerators i.e. LCM of 69,8576 is 591744.

GCF of Denominators means GCF of 892,2018 as per the given fractions.

GCF of 892,2018 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,8576

LCM of Fractions 69/892,8576/2018 is 295872

Given numbers has no common factors except 1. So, there LCM is their product i.e 591744

Least Common Multiple of 69,8576 with GCF Formula

Least Common Multiple of 69,8576 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 69,8576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,8576) = 1

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

GCF(69,8576) x common factors =1 x 1 = 1

LCM(69,8576) = ( 69 × 8576 ) / 1

LCM(69,8576) = 591744 / 1

LCM(69,8576) = 591744


Lets's calculate GCF of 892,2018

2 892, 2018
446, 1009

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591744/2

Therefore the LCM of Fractions 69/892,8576/2018 is 295872

Greatest Common Factor of 892,2018 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,2018 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 2018

List of positive integer factors of 2018 that divides 2018 without a remainder.

1,2,1009,2018

Greatest Common Factor

We found the factors 892,2018 . The biggest common factor number is the GCF number.
So the greatest common factor 892,2018 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 69/892, 8576/2018

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 69/892, 8576/2018?

Answer: LCM of Numerators as per given numbers 69/892, 8576/2018 is

LCM of Numerators i.e. for 69,8576 is 591744

GCF of denominators i.e. for 892,2018 is 2.

Thus, LCM of Fractions is 295872.Finally, LCM of Fractions for 69/892, 8576/2018 is 295872.