Least Common Multiple of 2165/429, 8179/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2165/429, 8179/356 quickly i.e. 17707535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2165/429, 8179/356 is 17707535.

LCM(2165/429, 8179/356) = 17707535

LCM of 2165/429, 8179/356

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 2165/429,8179/356

Given numbers are 2165/429,8179/356

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 2165,8179

Least Common Multiple of Numerators i.e. LCM of 2165,8179 is 17707535.

GCF of Denominators means GCF of 429,356 as per the given fractions.

GCF of 429,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2165,8179

LCM of Fractions 2165/429,8179/356 is 17707535

Given numbers has no common factors except 1. So, there LCM is their product i.e 17707535

Least Common Multiple of 2165,8179 with GCF Formula

Least Common Multiple of 2165,8179 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 2165,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2165,8179) = 1

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

GCF(2165,8179) x common factors =1 x 1 = 1

LCM(2165,8179) = ( 2165 × 8179 ) / 1

LCM(2165,8179) = 17707535 / 1

LCM(2165,8179) = 17707535


Lets's calculate GCF of 429,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17707535/1

Therefore the LCM of Fractions 2165/429,8179/356 is 17707535

Greatest Common Factor of 429,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,356 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 429,356 . The biggest common factor number is the GCF number.
So the greatest common factor 429,356 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 2165/429, 8179/356

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 2165/429, 8179/356?

Answer: LCM of Numerators as per given numbers 2165/429, 8179/356 is

LCM of Numerators i.e. for 2165,8179 is 17707535

GCF of denominators i.e. for 429,356 is 1.

Thus, LCM of Fractions is 17707535.Finally, LCM of Fractions for 2165/429, 8179/356 is 17707535.