Least Common Multiple of 47/125, 38/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/125, 38/760 quickly i.e. 1786/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/125, 38/760 is 1786/5.

LCM(47/125, 38/760) = 1786/5

LCM of 47/125, 38/760

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 47/125,38/760

Given numbers are 47/125,38/760

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 47,38

Least Common Multiple of Numerators i.e. LCM of 47,38 is 1786.

GCF of Denominators means GCF of 125,760 as per the given fractions.

GCF of 125,760 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,38

LCM of Fractions 47/125,38/760 is 1786/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1786

Least Common Multiple of 47,38 with GCF Formula

Least Common Multiple of 47,38 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 47,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,38) = 1

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

GCF(47,38) x common factors =1 x 1 = 1

LCM(47,38) = ( 47 × 38 ) / 1

LCM(47,38) = 1786 / 1

LCM(47,38) = 1786


Lets's calculate GCF of 125,760

5 125, 760
25, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1786/5

Therefore the LCM of Fractions 47/125,38/760 is 1786/5

Greatest Common Factor of 125,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,760 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

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

Greatest Common Factor

We found the factors 125,760 . The biggest common factor number is the GCF number.
So the greatest common factor 125,760 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 47/125, 38/760

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 47/125, 38/760?

Answer: LCM of Numerators as per given numbers 47/125, 38/760 is

LCM of Numerators i.e. for 47,38 is 1786

GCF of denominators i.e. for 125,760 is 5.

Thus, LCM of Fractions is 1786/5.Finally, LCM of Fractions for 47/125, 38/760 is 1786/5.