Least Common Multiple of 44/87, 78/49, 32/69, 33/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/87, 78/49, 32/69, 33/618 quickly i.e. 13728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/87, 78/49, 32/69, 33/618 is 13728.

LCM(44/87, 78/49, 32/69, 33/618) = 13728

LCM of 44/87, 78/49, 32/69, 33/618

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 44/87,78/49,32/69,33/618

Given numbers are 44/87,78/49,32/69,33/618

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 44,78,32,33

Least Common Multiple of Numerators i.e. LCM of 44,78,32,33 is 13728.

GCF of Denominators means GCF of 87,49,69,618 as per the given fractions.

GCF of 87,49,69,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,78,32,33

LCM of Fractions 44/87,78/49,32/69,33/618 is 13728

2 44, 78, 32, 33
2 22, 39, 16, 33
3 11, 39, 8, 33
11 11, 13, 8, 11
1, 13, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 13 x 8 x 1 = 13728

Least Common Multiple of 44,78,32,33 with GCF Formula

Least Common Multiple of 44,78,32,33 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 44,78,32,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,78,32,33) = 1

common factors(in case of two or more numbers have common factors) = 264

GCF(44,78,32,33) x common factors =1 x 264 = 264

LCM(44,78,32,33) = ( 44 × 78 × 32 × 33 ) / 264

LCM(44,78,32,33) = 3624192 / 264

LCM(44,78,32,33) = 13728


Lets's calculate GCF of 87,49,69,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13728/1

Therefore the LCM of Fractions 44/87,78/49,32/69,33/618 is 13728

Greatest Common Factor of 87,49,69,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,49,69,618 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 87,49,69,618 . The biggest common factor number is the GCF number.
So the greatest common factor 87,49,69,618 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 44/87, 78/49, 32/69, 33/618

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 44/87, 78/49, 32/69, 33/618?

Answer: LCM of Numerators as per given numbers 44/87, 78/49, 32/69, 33/618 is

LCM of Numerators i.e. for 44,78,32,33 is 13728

GCF of denominators i.e. for 87,49,69,618 is 1.

Thus, LCM of Fractions is 13728.Finally, LCM of Fractions for 44/87, 78/49, 32/69, 33/618 is 13728.