Least Common Multiple of 1997/759, 1529/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1997/759, 1529/531 quickly i.e. 3053413/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1997/759, 1529/531 is 3053413/3.

LCM(1997/759, 1529/531) = 3053413/3

LCM of 1997/759, 1529/531

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 1997/759,1529/531

Given numbers are 1997/759,1529/531

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 1997,1529

Least Common Multiple of Numerators i.e. LCM of 1997,1529 is 3053413.

GCF of Denominators means GCF of 759,531 as per the given fractions.

GCF of 759,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1997,1529

LCM of Fractions 1997/759,1529/531 is 3053413/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3053413

Least Common Multiple of 1997,1529 with GCF Formula

Least Common Multiple of 1997,1529 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 1997,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1997,1529) = 1

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

GCF(1997,1529) x common factors =1 x 1 = 1

LCM(1997,1529) = ( 1997 × 1529 ) / 1

LCM(1997,1529) = 3053413 / 1

LCM(1997,1529) = 3053413


Lets's calculate GCF of 759,531

3 759, 531
253, 177

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3053413/3

Therefore the LCM of Fractions 1997/759,1529/531 is 3053413/3

Greatest Common Factor of 759,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,531 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 759,531 . The biggest common factor number is the GCF number.
So the greatest common factor 759,531 is 3.


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 1997/759, 1529/531

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 1997/759, 1529/531?

Answer: LCM of Numerators as per given numbers 1997/759, 1529/531 is

LCM of Numerators i.e. for 1997,1529 is 3053413

GCF of denominators i.e. for 759,531 is 3.

Thus, LCM of Fractions is 3053413/3.Finally, LCM of Fractions for 1997/759, 1529/531 is 3053413/3.