Least Common Multiple of 477/315, 494/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/315, 494/525 quickly i.e. 235638/105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/315, 494/525 is 235638/105.

LCM(477/315, 494/525) = 235638/105

LCM of 477/315, 494/525

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 477/315,494/525

Given numbers are 477/315,494/525

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 477,494

Least Common Multiple of Numerators i.e. LCM of 477,494 is 235638.

GCF of Denominators means GCF of 315,525 as per the given fractions.

GCF of 315,525 is 105 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,494

LCM of Fractions 477/315,494/525 is 235638/105

Given numbers has no common factors except 1. So, there LCM is their product i.e 235638

Least Common Multiple of 477,494 with GCF Formula

Least Common Multiple of 477,494 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 477,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,494) = 1

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

GCF(477,494) x common factors =1 x 1 = 1

LCM(477,494) = ( 477 × 494 ) / 1

LCM(477,494) = 235638 / 1

LCM(477,494) = 235638


Lets's calculate GCF of 315,525

3 315, 525
5 105, 175
7 21, 35
3, 5

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235638/105

Therefore the LCM of Fractions 477/315,494/525 is 235638/105

Greatest Common Factor of 315,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,525 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 315,525 . The biggest common factor number is the GCF number.
So the greatest common factor 315,525 is 105.


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 477/315, 494/525

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 477/315, 494/525?

Answer: LCM of Numerators as per given numbers 477/315, 494/525 is

LCM of Numerators i.e. for 477,494 is 235638

GCF of denominators i.e. for 315,525 is 105.

Thus, LCM of Fractions is 235638/105.Finally, LCM of Fractions for 477/315, 494/525 is 235638/105.