Least Common Multiple of 327/214, 400/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/214, 400/542 quickly i.e. 65400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/214, 400/542 is 65400.

LCM(327/214, 400/542) = 65400

LCM of 327/214, 400/542

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 327/214,400/542

Given numbers are 327/214,400/542

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 327,400

Least Common Multiple of Numerators i.e. LCM of 327,400 is 130800.

GCF of Denominators means GCF of 214,542 as per the given fractions.

GCF of 214,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,400

LCM of Fractions 327/214,400/542 is 65400

Given numbers has no common factors except 1. So, there LCM is their product i.e 130800

Least Common Multiple of 327,400 with GCF Formula

Least Common Multiple of 327,400 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 327,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,400) = 1

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

GCF(327,400) x common factors =1 x 1 = 1

LCM(327,400) = ( 327 × 400 ) / 1

LCM(327,400) = 130800 / 1

LCM(327,400) = 130800


Lets's calculate GCF of 214,542

2 214, 542
107, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130800/2

Therefore the LCM of Fractions 327/214,400/542 is 65400

Greatest Common Factor of 214,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,542 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 214,542 . The biggest common factor number is the GCF number.
So the greatest common factor 214,542 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 327/214, 400/542

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 327/214, 400/542?

Answer: LCM of Numerators as per given numbers 327/214, 400/542 is

LCM of Numerators i.e. for 327,400 is 130800

GCF of denominators i.e. for 214,542 is 2.

Thus, LCM of Fractions is 65400.Finally, LCM of Fractions for 327/214, 400/542 is 65400.