Least Common Multiple of 1725/913, 1544/5727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1725/913, 1544/5727 quickly i.e. 2663400/83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1725/913, 1544/5727 is 2663400/83.

LCM(1725/913, 1544/5727) = 2663400/83

LCM of 1725/913, 1544/5727

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 1725/913,1544/5727

Given numbers are 1725/913,1544/5727

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 1725,1544

Least Common Multiple of Numerators i.e. LCM of 1725,1544 is 2663400.

GCF of Denominators means GCF of 913,5727 as per the given fractions.

GCF of 913,5727 is 83 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1725,1544

LCM of Fractions 1725/913,1544/5727 is 2663400/83

Given numbers has no common factors except 1. So, there LCM is their product i.e 2663400

Least Common Multiple of 1725,1544 with GCF Formula

Least Common Multiple of 1725,1544 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 1725,1544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1725,1544) = 1

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

GCF(1725,1544) x common factors =1 x 1 = 1

LCM(1725,1544) = ( 1725 × 1544 ) / 1

LCM(1725,1544) = 2663400 / 1

LCM(1725,1544) = 2663400


Lets's calculate GCF of 913,5727

83 913, 5727
11, 69

∴ So the GCF of the given numbers is 83 = 83

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2663400/83

Therefore the LCM of Fractions 1725/913,1544/5727 is 2663400/83

Greatest Common Factor of 913,5727 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,5727 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 5727

List of positive integer factors of 5727 that divides 5727 without a remainder.

1,3,23,69,83,249,1909,5727

Greatest Common Factor

We found the factors 913,5727 . The biggest common factor number is the GCF number.
So the greatest common factor 913,5727 is 83.


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 1725/913, 1544/5727

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 1725/913, 1544/5727?

Answer: LCM of Numerators as per given numbers 1725/913, 1544/5727 is

LCM of Numerators i.e. for 1725,1544 is 2663400

GCF of denominators i.e. for 913,5727 is 83.

Thus, LCM of Fractions is 2663400/83.Finally, LCM of Fractions for 1725/913, 1544/5727 is 2663400/83.