Least Common Multiple of 495/23, 689/5445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/23, 689/5445 quickly i.e. 341055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/23, 689/5445 is 341055.

LCM(495/23, 689/5445) = 341055

LCM of 495/23, 689/5445

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 495/23,689/5445

Given numbers are 495/23,689/5445

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 495,689

Least Common Multiple of Numerators i.e. LCM of 495,689 is 341055.

GCF of Denominators means GCF of 23,5445 as per the given fractions.

GCF of 23,5445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,689

LCM of Fractions 495/23,689/5445 is 341055

Given numbers has no common factors except 1. So, there LCM is their product i.e 341055

Least Common Multiple of 495,689 with GCF Formula

Least Common Multiple of 495,689 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 495,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,689) = 1

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

GCF(495,689) x common factors =1 x 1 = 1

LCM(495,689) = ( 495 × 689 ) / 1

LCM(495,689) = 341055 / 1

LCM(495,689) = 341055


Lets's calculate GCF of 23,5445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341055/1

Therefore the LCM of Fractions 495/23,689/5445 is 341055

Greatest Common Factor of 23,5445 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,5445 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445

Greatest Common Factor

We found the factors 23,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 23,5445 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 495/23, 689/5445

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 495/23, 689/5445?

Answer: LCM of Numerators as per given numbers 495/23, 689/5445 is

LCM of Numerators i.e. for 495,689 is 341055

GCF of denominators i.e. for 23,5445 is 1.

Thus, LCM of Fractions is 341055.Finally, LCM of Fractions for 495/23, 689/5445 is 341055.