Least Common Multiple of 47/760, 1292/4005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/760, 1292/4005 quickly i.e. 60724/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/760, 1292/4005 is 60724/5.

LCM(47/760, 1292/4005) = 60724/5

LCM of 47/760, 1292/4005

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 47/760,1292/4005

Given numbers are 47/760,1292/4005

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 47,1292

Least Common Multiple of Numerators i.e. LCM of 47,1292 is 60724.

GCF of Denominators means GCF of 760,4005 as per the given fractions.

GCF of 760,4005 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,1292

LCM of Fractions 47/760,1292/4005 is 60724/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 60724

Least Common Multiple of 47,1292 with GCF Formula

Least Common Multiple of 47,1292 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 47,1292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,1292) = 1

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

GCF(47,1292) x common factors =1 x 1 = 1

LCM(47,1292) = ( 47 × 1292 ) / 1

LCM(47,1292) = 60724 / 1

LCM(47,1292) = 60724


Lets's calculate GCF of 760,4005

5 760, 4005
152, 801

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60724/5

Therefore the LCM of Fractions 47/760,1292/4005 is 60724/5

Greatest Common Factor of 760,4005 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,4005 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1,3,5,9,15,45,89,267,445,801,1335,4005

Greatest Common Factor

We found the factors 760,4005 . The biggest common factor number is the GCF number.
So the greatest common factor 760,4005 is 5.


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 47/760, 1292/4005

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 47/760, 1292/4005?

Answer: LCM of Numerators as per given numbers 47/760, 1292/4005 is

LCM of Numerators i.e. for 47,1292 is 60724

GCF of denominators i.e. for 760,4005 is 5.

Thus, LCM of Fractions is 60724/5.Finally, LCM of Fractions for 47/760, 1292/4005 is 60724/5.