Least Common Multiple of 327/37, 714/14, 451/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/37, 714/14, 451/39 quickly i.e. 35099526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/37, 714/14, 451/39 is 35099526.

LCM(327/37, 714/14, 451/39) = 35099526

LCM of 327/37, 714/14, 451/39

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 327/37,714/14,451/39

Given numbers are 327/37,714/14,451/39

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 327,714,451

Least Common Multiple of Numerators i.e. LCM of 327,714,451 is 35099526.

GCF of Denominators means GCF of 37,14,39 as per the given fractions.

GCF of 37,14,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,714,451

LCM of Fractions 327/37,714/14,451/39 is 35099526

3 327, 714, 451
109, 238, 451

∴ So the LCM of the given numbers is 3 x 109 x 238 x 451 = 35099526

Least Common Multiple of 327,714,451 with GCF Formula

Least Common Multiple of 327,714,451 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 327,714,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,714,451) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(327,714,451) x common factors =1 x 3 = 3

LCM(327,714,451) = ( 327 × 714 × 451 ) / 3

LCM(327,714,451) = 105298578 / 3

LCM(327,714,451) = 35099526


Lets's calculate GCF of 37,14,39

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35099526/1

Therefore the LCM of Fractions 327/37,714/14,451/39 is 35099526

Greatest Common Factor of 37,14,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,14,39 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 37,14,39 . The biggest common factor number is the GCF number.
So the greatest common factor 37,14,39 is 1.


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 327/37, 714/14, 451/39

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 327/37, 714/14, 451/39?

Answer: LCM of Numerators as per given numbers 327/37, 714/14, 451/39 is

LCM of Numerators i.e. for 327,714,451 is 35099526

GCF of denominators i.e. for 37,14,39 is 1.

Thus, LCM of Fractions is 35099526.Finally, LCM of Fractions for 327/37, 714/14, 451/39 is 35099526.