Least Common Multiple of 495/477, 815/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/477, 815/549 quickly i.e. 8965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/477, 815/549 is 8965.

LCM(495/477, 815/549) = 8965

LCM of 495/477, 815/549

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 495/477,815/549

Given numbers are 495/477,815/549

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 495,815

Least Common Multiple of Numerators i.e. LCM of 495,815 is 80685.

GCF of Denominators means GCF of 477,549 as per the given fractions.

GCF of 477,549 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,815

LCM of Fractions 495/477,815/549 is 8965

5 495, 815
99, 163

∴ So the LCM of the given numbers is 5 x 99 x 163 = 80685

Least Common Multiple of 495,815 with GCF Formula

Least Common Multiple of 495,815 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 495,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,815) = 5

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

GCF(495,815) x common factors =5 x 1 = 5

LCM(495,815) = ( 495 × 815 ) / 5

LCM(495,815) = 403425 / 5

LCM(495,815) = 80685


Lets's calculate GCF of 477,549

3 477, 549
3 159, 183
53, 61

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80685/9

Therefore the LCM of Fractions 495/477,815/549 is 8965

Greatest Common Factor of 477,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,549 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 477,549 . The biggest common factor number is the GCF number.
So the greatest common factor 477,549 is 9.


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 495/477, 815/549

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 495/477, 815/549?

Answer: LCM of Numerators as per given numbers 495/477, 815/549 is

LCM of Numerators i.e. for 495,815 is 80685

GCF of denominators i.e. for 477,549 is 9.

Thus, LCM of Fractions is 8965.Finally, LCM of Fractions for 495/477, 815/549 is 8965.