Least Common Multiple of 119/725, 229/497, 471/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/725, 229/497, 471/904 quickly i.e. 12835221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/725, 229/497, 471/904 is 12835221.

LCM(119/725, 229/497, 471/904) = 12835221

LCM of 119/725, 229/497, 471/904

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 119/725,229/497,471/904

Given numbers are 119/725,229/497,471/904

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 119,229,471

Least Common Multiple of Numerators i.e. LCM of 119,229,471 is 12835221.

GCF of Denominators means GCF of 725,497,904 as per the given fractions.

GCF of 725,497,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,229,471

LCM of Fractions 119/725,229/497,471/904 is 12835221

Given numbers has no common factors except 1. So, there LCM is their product i.e 12835221

Least Common Multiple of 119,229,471 with GCF Formula

Least Common Multiple of 119,229,471 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 119,229,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,229,471) = 1

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

GCF(119,229,471) x common factors =1 x 1 = 1

LCM(119,229,471) = ( 119 × 229 × 471 ) / 1

LCM(119,229,471) = 12835221 / 1

LCM(119,229,471) = 12835221


Lets's calculate GCF of 725,497,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12835221/1

Therefore the LCM of Fractions 119/725,229/497,471/904 is 12835221

Greatest Common Factor of 725,497,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,497,904 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 725,497,904 . The biggest common factor number is the GCF number.
So the greatest common factor 725,497,904 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 119/725, 229/497, 471/904

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 119/725, 229/497, 471/904?

Answer: LCM of Numerators as per given numbers 119/725, 229/497, 471/904 is

LCM of Numerators i.e. for 119,229,471 is 12835221

GCF of denominators i.e. for 725,497,904 is 1.

Thus, LCM of Fractions is 12835221.Finally, LCM of Fractions for 119/725, 229/497, 471/904 is 12835221.