Least Common Multiple of 47/961, 3072/5942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/961, 3072/5942 quickly i.e. 144384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/961, 3072/5942 is 144384.

LCM(47/961, 3072/5942) = 144384

LCM of 47/961, 3072/5942

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 47/961,3072/5942

Given numbers are 47/961,3072/5942

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 47,3072

Least Common Multiple of Numerators i.e. LCM of 47,3072 is 144384.

GCF of Denominators means GCF of 961,5942 as per the given fractions.

GCF of 961,5942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,3072

LCM of Fractions 47/961,3072/5942 is 144384

Given numbers has no common factors except 1. So, there LCM is their product i.e 144384

Least Common Multiple of 47,3072 with GCF Formula

Least Common Multiple of 47,3072 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 47,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,3072) = 1

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

GCF(47,3072) x common factors =1 x 1 = 1

LCM(47,3072) = ( 47 × 3072 ) / 1

LCM(47,3072) = 144384 / 1

LCM(47,3072) = 144384


Lets's calculate GCF of 961,5942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144384/1

Therefore the LCM of Fractions 47/961,3072/5942 is 144384

Greatest Common Factor of 961,5942 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,5942 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1,2,2971,5942

Greatest Common Factor

We found the factors 961,5942 . The biggest common factor number is the GCF number.
So the greatest common factor 961,5942 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 47/961, 3072/5942

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 47/961, 3072/5942?

Answer: LCM of Numerators as per given numbers 47/961, 3072/5942 is

LCM of Numerators i.e. for 47,3072 is 144384

GCF of denominators i.e. for 961,5942 is 1.

Thus, LCM of Fractions is 144384.Finally, LCM of Fractions for 47/961, 3072/5942 is 144384.