Least Common Multiple of 1643/430, 8182/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1643/430, 8182/129 quickly i.e. 13443026/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1643/430, 8182/129 is 13443026/43.

LCM(1643/430, 8182/129) = 13443026/43

LCM of 1643/430, 8182/129

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 1643/430,8182/129

Given numbers are 1643/430,8182/129

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 1643,8182

Least Common Multiple of Numerators i.e. LCM of 1643,8182 is 13443026.

GCF of Denominators means GCF of 430,129 as per the given fractions.

GCF of 430,129 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1643,8182

LCM of Fractions 1643/430,8182/129 is 13443026/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 13443026

Least Common Multiple of 1643,8182 with GCF Formula

Least Common Multiple of 1643,8182 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 1643,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1643,8182) = 1

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

GCF(1643,8182) x common factors =1 x 1 = 1

LCM(1643,8182) = ( 1643 × 8182 ) / 1

LCM(1643,8182) = 13443026 / 1

LCM(1643,8182) = 13443026


Lets's calculate GCF of 430,129

43 430, 129
10, 3

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13443026/43

Therefore the LCM of Fractions 1643/430,8182/129 is 13443026/43

Greatest Common Factor of 430,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,129 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 430,129 . The biggest common factor number is the GCF number.
So the greatest common factor 430,129 is 43.


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 1643/430, 8182/129

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 1643/430, 8182/129?

Answer: LCM of Numerators as per given numbers 1643/430, 8182/129 is

LCM of Numerators i.e. for 1643,8182 is 13443026

GCF of denominators i.e. for 430,129 is 43.

Thus, LCM of Fractions is 13443026/43.Finally, LCM of Fractions for 1643/430, 8182/129 is 13443026/43.