Least Common Multiple of 809/345, 429/332, 164/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/345, 429/332, 164/158 quickly i.e. 56918004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/345, 429/332, 164/158 is 56918004.

LCM(809/345, 429/332, 164/158) = 56918004

LCM of 809/345, 429/332, 164/158

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 809/345,429/332,164/158

Given numbers are 809/345,429/332,164/158

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 809,429,164

Least Common Multiple of Numerators i.e. LCM of 809,429,164 is 56918004.

GCF of Denominators means GCF of 345,332,158 as per the given fractions.

GCF of 345,332,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,429,164

LCM of Fractions 809/345,429/332,164/158 is 56918004

Given numbers has no common factors except 1. So, there LCM is their product i.e 56918004

Least Common Multiple of 809,429,164 with GCF Formula

Least Common Multiple of 809,429,164 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 809,429,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,429,164) = 1

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

GCF(809,429,164) x common factors =1 x 1 = 1

LCM(809,429,164) = ( 809 × 429 × 164 ) / 1

LCM(809,429,164) = 56918004 / 1

LCM(809,429,164) = 56918004


Lets's calculate GCF of 345,332,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56918004/1

Therefore the LCM of Fractions 809/345,429/332,164/158 is 56918004

Greatest Common Factor of 345,332,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,332,158 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 345,332,158 . The biggest common factor number is the GCF number.
So the greatest common factor 345,332,158 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 809/345, 429/332, 164/158

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 809/345, 429/332, 164/158?

Answer: LCM of Numerators as per given numbers 809/345, 429/332, 164/158 is

LCM of Numerators i.e. for 809,429,164 is 56918004

GCF of denominators i.e. for 345,332,158 is 1.

Thus, LCM of Fractions is 56918004.Finally, LCM of Fractions for 809/345, 429/332, 164/158 is 56918004.