Least Common Multiple of 497/81, 175/4125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/81, 175/4125 quickly i.e. 12425/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/81, 175/4125 is 12425/3.

LCM(497/81, 175/4125) = 12425/3

LCM of 497/81, 175/4125

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 497/81,175/4125

Given numbers are 497/81,175/4125

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 497,175

Least Common Multiple of Numerators i.e. LCM of 497,175 is 12425.

GCF of Denominators means GCF of 81,4125 as per the given fractions.

GCF of 81,4125 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,175

LCM of Fractions 497/81,175/4125 is 12425/3

7 497, 175
71, 25

∴ So the LCM of the given numbers is 7 x 71 x 25 = 12425

Least Common Multiple of 497,175 with GCF Formula

Least Common Multiple of 497,175 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 497,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,175) = 7

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

GCF(497,175) x common factors =7 x 1 = 7

LCM(497,175) = ( 497 × 175 ) / 7

LCM(497,175) = 86975 / 7

LCM(497,175) = 12425


Lets's calculate GCF of 81,4125

3 81, 4125
27, 1375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12425/3

Therefore the LCM of Fractions 497/81,175/4125 is 12425/3

Greatest Common Factor of 81,4125 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,4125 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Greatest Common Factor

We found the factors 81,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 81,4125 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 497/81, 175/4125

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 497/81, 175/4125?

Answer: LCM of Numerators as per given numbers 497/81, 175/4125 is

LCM of Numerators i.e. for 497,175 is 12425

GCF of denominators i.e. for 81,4125 is 3.

Thus, LCM of Fractions is 12425/3.Finally, LCM of Fractions for 497/81, 175/4125 is 12425/3.