Least Common Multiple of 3023/754, 5752/7535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3023/754, 5752/7535 quickly i.e. 17388296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3023/754, 5752/7535 is 17388296.

LCM(3023/754, 5752/7535) = 17388296

LCM of 3023/754, 5752/7535

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 3023/754,5752/7535

Given numbers are 3023/754,5752/7535

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 3023,5752

Least Common Multiple of Numerators i.e. LCM of 3023,5752 is 17388296.

GCF of Denominators means GCF of 754,7535 as per the given fractions.

GCF of 754,7535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3023,5752

LCM of Fractions 3023/754,5752/7535 is 17388296

Given numbers has no common factors except 1. So, there LCM is their product i.e 17388296

Least Common Multiple of 3023,5752 with GCF Formula

Least Common Multiple of 3023,5752 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 3023,5752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3023,5752) = 1

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

GCF(3023,5752) x common factors =1 x 1 = 1

LCM(3023,5752) = ( 3023 × 5752 ) / 1

LCM(3023,5752) = 17388296 / 1

LCM(3023,5752) = 17388296


Lets's calculate GCF of 754,7535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17388296/1

Therefore the LCM of Fractions 3023/754,5752/7535 is 17388296

Greatest Common Factor of 754,7535 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,7535 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 7535

List of positive integer factors of 7535 that divides 7535 without a remainder.

1,5,11,55,137,685,1507,7535

Greatest Common Factor

We found the factors 754,7535 . The biggest common factor number is the GCF number.
So the greatest common factor 754,7535 is 1.


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 3023/754, 5752/7535

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 3023/754, 5752/7535?

Answer: LCM of Numerators as per given numbers 3023/754, 5752/7535 is

LCM of Numerators i.e. for 3023,5752 is 17388296

GCF of denominators i.e. for 754,7535 is 1.

Thus, LCM of Fractions is 17388296.Finally, LCM of Fractions for 3023/754, 5752/7535 is 17388296.