Least Common Multiple of 43/402, 830/169, 831/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/402, 830/169, 831/239 quickly i.e. 29658390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/402, 830/169, 831/239 is 29658390.

LCM(43/402, 830/169, 831/239) = 29658390

LCM of 43/402, 830/169, 831/239

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 43/402,830/169,831/239

Given numbers are 43/402,830/169,831/239

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 43,830,831

Least Common Multiple of Numerators i.e. LCM of 43,830,831 is 29658390.

GCF of Denominators means GCF of 402,169,239 as per the given fractions.

GCF of 402,169,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,830,831

LCM of Fractions 43/402,830/169,831/239 is 29658390

Given numbers has no common factors except 1. So, there LCM is their product i.e 29658390

Least Common Multiple of 43,830,831 with GCF Formula

Least Common Multiple of 43,830,831 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 43,830,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,830,831) = 1

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

GCF(43,830,831) x common factors =1 x 1 = 1

LCM(43,830,831) = ( 43 × 830 × 831 ) / 1

LCM(43,830,831) = 29658390 / 1

LCM(43,830,831) = 29658390


Lets's calculate GCF of 402,169,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29658390/1

Therefore the LCM of Fractions 43/402,830/169,831/239 is 29658390

Greatest Common Factor of 402,169,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,169,239 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 402,169,239 . The biggest common factor number is the GCF number.
So the greatest common factor 402,169,239 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/402, 830/169, 831/239

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 43/402, 830/169, 831/239?

Answer: LCM of Numerators as per given numbers 43/402, 830/169, 831/239 is

LCM of Numerators i.e. for 43,830,831 is 29658390

GCF of denominators i.e. for 402,169,239 is 1.

Thus, LCM of Fractions is 29658390.Finally, LCM of Fractions for 43/402, 830/169, 831/239 is 29658390.