Least Common Multiple of 47/992, 311/69, 283/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/992, 311/69, 283/147 quickly i.e. 4136611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/992, 311/69, 283/147 is 4136611.

LCM(47/992, 311/69, 283/147) = 4136611

LCM of 47/992, 311/69, 283/147

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 47/992,311/69,283/147

Given numbers are 47/992,311/69,283/147

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 47,311,283

Least Common Multiple of Numerators i.e. LCM of 47,311,283 is 4136611.

GCF of Denominators means GCF of 992,69,147 as per the given fractions.

GCF of 992,69,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,311,283

LCM of Fractions 47/992,311/69,283/147 is 4136611

Given numbers has no common factors except 1. So, there LCM is their product i.e 4136611

Least Common Multiple of 47,311,283 with GCF Formula

Least Common Multiple of 47,311,283 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 47,311,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,311,283) = 1

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

GCF(47,311,283) x common factors =1 x 1 = 1

LCM(47,311,283) = ( 47 × 311 × 283 ) / 1

LCM(47,311,283) = 4136611 / 1

LCM(47,311,283) = 4136611


Lets's calculate GCF of 992,69,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4136611/1

Therefore the LCM of Fractions 47/992,311/69,283/147 is 4136611

Greatest Common Factor of 992,69,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,69,147 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 69

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

1,3,23,69

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 992,69,147 . The biggest common factor number is the GCF number.
So the greatest common factor 992,69,147 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 47/992, 311/69, 283/147

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 47/992, 311/69, 283/147?

Answer: LCM of Numerators as per given numbers 47/992, 311/69, 283/147 is

LCM of Numerators i.e. for 47,311,283 is 4136611

GCF of denominators i.e. for 992,69,147 is 1.

Thus, LCM of Fractions is 4136611.Finally, LCM of Fractions for 47/992, 311/69, 283/147 is 4136611.