Least Common Multiple of 47/768, 89/804, 942/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/768, 89/804, 942/160 quickly i.e. 3940386/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/768, 89/804, 942/160 is 3940386/4.

LCM(47/768, 89/804, 942/160) = 3940386/4

LCM of 47/768, 89/804, 942/160

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 47/768,89/804,942/160

Given numbers are 47/768,89/804,942/160

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 47,89,942

Least Common Multiple of Numerators i.e. LCM of 47,89,942 is 3940386.

GCF of Denominators means GCF of 768,804,160 as per the given fractions.

GCF of 768,804,160 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,89,942

LCM of Fractions 47/768,89/804,942/160 is 3940386/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3940386

Least Common Multiple of 47,89,942 with GCF Formula

Least Common Multiple of 47,89,942 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 47,89,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,89,942) = 1

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

GCF(47,89,942) x common factors =1 x 1 = 1

LCM(47,89,942) = ( 47 × 89 × 942 ) / 1

LCM(47,89,942) = 3940386 / 1

LCM(47,89,942) = 3940386


Lets's calculate GCF of 768,804,160

2 768, 804, 160
2 384, 402, 80
192, 201, 40

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3940386/4

Therefore the LCM of Fractions 47/768,89/804,942/160 is 3940386/4

Greatest Common Factor of 768,804,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,804,160 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 768,804,160 . The biggest common factor number is the GCF number.
So the greatest common factor 768,804,160 is 4.


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 47/768, 89/804, 942/160

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 47/768, 89/804, 942/160?

Answer: LCM of Numerators as per given numbers 47/768, 89/804, 942/160 is

LCM of Numerators i.e. for 47,89,942 is 3940386

GCF of denominators i.e. for 768,804,160 is 4.

Thus, LCM of Fractions is 3940386/4.Finally, LCM of Fractions for 47/768, 89/804, 942/160 is 3940386/4.