Least Common Multiple of 543/18, 614/8146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/18, 614/8146 quickly i.e. 166701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/18, 614/8146 is 166701.

LCM(543/18, 614/8146) = 166701

LCM of 543/18, 614/8146

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 543/18,614/8146

Given numbers are 543/18,614/8146

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 543,614

Least Common Multiple of Numerators i.e. LCM of 543,614 is 333402.

GCF of Denominators means GCF of 18,8146 as per the given fractions.

GCF of 18,8146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,614

LCM of Fractions 543/18,614/8146 is 166701

Given numbers has no common factors except 1. So, there LCM is their product i.e 333402

Least Common Multiple of 543,614 with GCF Formula

Least Common Multiple of 543,614 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 543,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,614) = 1

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

GCF(543,614) x common factors =1 x 1 = 1

LCM(543,614) = ( 543 × 614 ) / 1

LCM(543,614) = 333402 / 1

LCM(543,614) = 333402


Lets's calculate GCF of 18,8146

2 18, 8146
9, 4073

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333402/2

Therefore the LCM of Fractions 543/18,614/8146 is 166701

Greatest Common Factor of 18,8146 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,8146 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 8146

List of positive integer factors of 8146 that divides 8146 without a remainder.

1,2,4073,8146

Greatest Common Factor

We found the factors 18,8146 . The biggest common factor number is the GCF number.
So the greatest common factor 18,8146 is 2.


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 543/18, 614/8146

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 543/18, 614/8146?

Answer: LCM of Numerators as per given numbers 543/18, 614/8146 is

LCM of Numerators i.e. for 543,614 is 333402

GCF of denominators i.e. for 18,8146 is 2.

Thus, LCM of Fractions is 166701.Finally, LCM of Fractions for 543/18, 614/8146 is 166701.