Least Common Multiple of 1993/388, 2810/5302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1993/388, 2810/5302 quickly i.e. 2800165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1993/388, 2810/5302 is 2800165.

LCM(1993/388, 2810/5302) = 2800165

LCM of 1993/388, 2810/5302

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 1993/388,2810/5302

Given numbers are 1993/388,2810/5302

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 1993,2810

Least Common Multiple of Numerators i.e. LCM of 1993,2810 is 5600330.

GCF of Denominators means GCF of 388,5302 as per the given fractions.

GCF of 388,5302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1993,2810

LCM of Fractions 1993/388,2810/5302 is 2800165

Given numbers has no common factors except 1. So, there LCM is their product i.e 5600330

Least Common Multiple of 1993,2810 with GCF Formula

Least Common Multiple of 1993,2810 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 1993,2810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1993,2810) = 1

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

GCF(1993,2810) x common factors =1 x 1 = 1

LCM(1993,2810) = ( 1993 × 2810 ) / 1

LCM(1993,2810) = 5600330 / 1

LCM(1993,2810) = 5600330


Lets's calculate GCF of 388,5302

2 388, 5302
194, 2651

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5600330/2

Therefore the LCM of Fractions 1993/388,2810/5302 is 2800165

Greatest Common Factor of 388,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,5302 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 388,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 388,5302 is 2.


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 1993/388, 2810/5302

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 1993/388, 2810/5302?

Answer: LCM of Numerators as per given numbers 1993/388, 2810/5302 is

LCM of Numerators i.e. for 1993,2810 is 5600330

GCF of denominators i.e. for 388,5302 is 2.

Thus, LCM of Fractions is 2800165.Finally, LCM of Fractions for 1993/388, 2810/5302 is 2800165.