Least Common Multiple of 81/429, 8138/4230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/429, 8138/4230 quickly i.e. 219726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/429, 8138/4230 is 219726.

LCM(81/429, 8138/4230) = 219726

LCM of 81/429, 8138/4230

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 81/429,8138/4230

Given numbers are 81/429,8138/4230

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 81,8138

Least Common Multiple of Numerators i.e. LCM of 81,8138 is 659178.

GCF of Denominators means GCF of 429,4230 as per the given fractions.

GCF of 429,4230 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,8138

LCM of Fractions 81/429,8138/4230 is 219726

Given numbers has no common factors except 1. So, there LCM is their product i.e 659178

Least Common Multiple of 81,8138 with GCF Formula

Least Common Multiple of 81,8138 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 81,8138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,8138) = 1

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

GCF(81,8138) x common factors =1 x 1 = 1

LCM(81,8138) = ( 81 × 8138 ) / 1

LCM(81,8138) = 659178 / 1

LCM(81,8138) = 659178


Lets's calculate GCF of 429,4230

3 429, 4230
143, 1410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659178/3

Therefore the LCM of Fractions 81/429,8138/4230 is 219726

Greatest Common Factor of 429,4230 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,4230 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 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230

Greatest Common Factor

We found the factors 429,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 429,4230 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 81/429, 8138/4230

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 81/429, 8138/4230?

Answer: LCM of Numerators as per given numbers 81/429, 8138/4230 is

LCM of Numerators i.e. for 81,8138 is 659178

GCF of denominators i.e. for 429,4230 is 3.

Thus, LCM of Fractions is 219726.Finally, LCM of Fractions for 81/429, 8138/4230 is 219726.