Least Common Multiple of 39/378, 45/257, 279/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/378, 45/257, 279/689 quickly i.e. 18135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/378, 45/257, 279/689 is 18135.

LCM(39/378, 45/257, 279/689) = 18135

LCM of 39/378, 45/257, 279/689

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 39/378,45/257,279/689

Given numbers are 39/378,45/257,279/689

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 39,45,279

Least Common Multiple of Numerators i.e. LCM of 39,45,279 is 18135.

GCF of Denominators means GCF of 378,257,689 as per the given fractions.

GCF of 378,257,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,45,279

LCM of Fractions 39/378,45/257,279/689 is 18135

3 39, 45, 279
3 13, 15, 93
13, 5, 31

∴ So the LCM of the given numbers is 3 x 3 x 13 x 5 x 31 = 18135

Least Common Multiple of 39,45,279 with GCF Formula

Least Common Multiple of 39,45,279 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 39,45,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,45,279) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(39,45,279) x common factors =3 x 9 = 27

LCM(39,45,279) = ( 39 × 45 × 279 ) / 27

LCM(39,45,279) = 489645 / 27

LCM(39,45,279) = 18135


Lets's calculate GCF of 378,257,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18135/1

Therefore the LCM of Fractions 39/378,45/257,279/689 is 18135

Greatest Common Factor of 378,257,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,257,689 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 378,257,689 . The biggest common factor number is the GCF number.
So the greatest common factor 378,257,689 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 39/378, 45/257, 279/689

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 39/378, 45/257, 279/689?

Answer: LCM of Numerators as per given numbers 39/378, 45/257, 279/689 is

LCM of Numerators i.e. for 39,45,279 is 18135

GCF of denominators i.e. for 378,257,689 is 1.

Thus, LCM of Fractions is 18135.Finally, LCM of Fractions for 39/378, 45/257, 279/689 is 18135.