Least Common Multiple of 5023/328, 7549/1665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5023/328, 7549/1665 quickly i.e. 37918627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5023/328, 7549/1665 is 37918627.

LCM(5023/328, 7549/1665) = 37918627

LCM of 5023/328, 7549/1665

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 5023/328,7549/1665

Given numbers are 5023/328,7549/1665

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 5023,7549

Least Common Multiple of Numerators i.e. LCM of 5023,7549 is 37918627.

GCF of Denominators means GCF of 328,1665 as per the given fractions.

GCF of 328,1665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5023,7549

LCM of Fractions 5023/328,7549/1665 is 37918627

Given numbers has no common factors except 1. So, there LCM is their product i.e 37918627

Least Common Multiple of 5023,7549 with GCF Formula

Least Common Multiple of 5023,7549 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 5023,7549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5023,7549) = 1

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

GCF(5023,7549) x common factors =1 x 1 = 1

LCM(5023,7549) = ( 5023 × 7549 ) / 1

LCM(5023,7549) = 37918627 / 1

LCM(5023,7549) = 37918627


Lets's calculate GCF of 328,1665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37918627/1

Therefore the LCM of Fractions 5023/328,7549/1665 is 37918627

Greatest Common Factor of 328,1665 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,1665 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1,3,5,9,15,37,45,111,185,333,555,1665

Greatest Common Factor

We found the factors 328,1665 . The biggest common factor number is the GCF number.
So the greatest common factor 328,1665 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 5023/328, 7549/1665

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 5023/328, 7549/1665?

Answer: LCM of Numerators as per given numbers 5023/328, 7549/1665 is

LCM of Numerators i.e. for 5023,7549 is 37918627

GCF of denominators i.e. for 328,1665 is 1.

Thus, LCM of Fractions is 37918627.Finally, LCM of Fractions for 5023/328, 7549/1665 is 37918627.