Least Common Multiple of 543/51, 3978/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/51, 3978/578 quickly i.e. 42354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/51, 3978/578 is 42354.

LCM(543/51, 3978/578) = 42354

LCM of 543/51, 3978/578

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 543/51,3978/578

Given numbers are 543/51,3978/578

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 543,3978

Least Common Multiple of Numerators i.e. LCM of 543,3978 is 720018.

GCF of Denominators means GCF of 51,578 as per the given fractions.

GCF of 51,578 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,3978

LCM of Fractions 543/51,3978/578 is 42354

3 543, 3978
181, 1326

∴ So the LCM of the given numbers is 3 x 181 x 1326 = 720018

Least Common Multiple of 543,3978 with GCF Formula

Least Common Multiple of 543,3978 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 543,3978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,3978) = 3

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

GCF(543,3978) x common factors =3 x 1 = 3

LCM(543,3978) = ( 543 × 3978 ) / 3

LCM(543,3978) = 2160054 / 3

LCM(543,3978) = 720018


Lets's calculate GCF of 51,578

17 51, 578
3, 34

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720018/17

Therefore the LCM of Fractions 543/51,3978/578 is 42354

Greatest Common Factor of 51,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,578 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 51,578 . The biggest common factor number is the GCF number.
So the greatest common factor 51,578 is 17.


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 543/51, 3978/578

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 543/51, 3978/578?

Answer: LCM of Numerators as per given numbers 543/51, 3978/578 is

LCM of Numerators i.e. for 543,3978 is 720018

GCF of denominators i.e. for 51,578 is 17.

Thus, LCM of Fractions is 42354.Finally, LCM of Fractions for 543/51, 3978/578 is 42354.