Least Common Multiple of 495/243, 550/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/243, 550/867 quickly i.e. 1650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/243, 550/867 is 1650.

LCM(495/243, 550/867) = 1650

LCM of 495/243, 550/867

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 495/243,550/867

Given numbers are 495/243,550/867

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 495,550

Least Common Multiple of Numerators i.e. LCM of 495,550 is 4950.

GCF of Denominators means GCF of 243,867 as per the given fractions.

GCF of 243,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,550

LCM of Fractions 495/243,550/867 is 1650

5 495, 550
11 99, 110
9, 10

∴ So the LCM of the given numbers is 5 x 11 x 9 x 10 = 4950

Least Common Multiple of 495,550 with GCF Formula

Least Common Multiple of 495,550 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 495,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,550) = 55

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

GCF(495,550) x common factors =55 x 1 = 55

LCM(495,550) = ( 495 × 550 ) / 55

LCM(495,550) = 272250 / 55

LCM(495,550) = 4950


Lets's calculate GCF of 243,867

3 243, 867
81, 289

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4950/3

Therefore the LCM of Fractions 495/243,550/867 is 1650

Greatest Common Factor of 243,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,867 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 243,867 . The biggest common factor number is the GCF number.
So the greatest common factor 243,867 is 3.


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 495/243, 550/867

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 495/243, 550/867?

Answer: LCM of Numerators as per given numbers 495/243, 550/867 is

LCM of Numerators i.e. for 495,550 is 4950

GCF of denominators i.e. for 243,867 is 3.

Thus, LCM of Fractions is 1650.Finally, LCM of Fractions for 495/243, 550/867 is 1650.