Least Common Multiple of 725/47, 944/5972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 725/47, 944/5972 quickly i.e. 684400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/47, 944/5972 is 684400.

LCM(725/47, 944/5972) = 684400

LCM of 725/47, 944/5972

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 725/47,944/5972

Given numbers are 725/47,944/5972

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 725,944

Least Common Multiple of Numerators i.e. LCM of 725,944 is 684400.

GCF of Denominators means GCF of 47,5972 as per the given fractions.

GCF of 47,5972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,944

LCM of Fractions 725/47,944/5972 is 684400

Given numbers has no common factors except 1. So, there LCM is their product i.e 684400

Least Common Multiple of 725,944 with GCF Formula

Least Common Multiple of 725,944 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 725,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,944) = 1

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

GCF(725,944) x common factors =1 x 1 = 1

LCM(725,944) = ( 725 × 944 ) / 1

LCM(725,944) = 684400 / 1

LCM(725,944) = 684400


Lets's calculate GCF of 47,5972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684400/1

Therefore the LCM of Fractions 725/47,944/5972 is 684400

Greatest Common Factor of 47,5972 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,5972 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1,2,4,1493,2986,5972

Greatest Common Factor

We found the factors 47,5972 . The biggest common factor number is the GCF number.
So the greatest common factor 47,5972 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 725/47, 944/5972

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 725/47, 944/5972?

Answer: LCM of Numerators as per given numbers 725/47, 944/5972 is

LCM of Numerators i.e. for 725,944 is 684400

GCF of denominators i.e. for 47,5972 is 1.

Thus, LCM of Fractions is 684400.Finally, LCM of Fractions for 725/47, 944/5972 is 684400.