Least Common Multiple of 5069/506, 3023/3383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5069/506, 3023/3383 quickly i.e. 15323587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5069/506, 3023/3383 is 15323587.

LCM(5069/506, 3023/3383) = 15323587

LCM of 5069/506, 3023/3383

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 5069/506,3023/3383

Given numbers are 5069/506,3023/3383

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 5069,3023

Least Common Multiple of Numerators i.e. LCM of 5069,3023 is 15323587.

GCF of Denominators means GCF of 506,3383 as per the given fractions.

GCF of 506,3383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5069,3023

LCM of Fractions 5069/506,3023/3383 is 15323587

Given numbers has no common factors except 1. So, there LCM is their product i.e 15323587

Least Common Multiple of 5069,3023 with GCF Formula

Least Common Multiple of 5069,3023 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 5069,3023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5069,3023) = 1

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

GCF(5069,3023) x common factors =1 x 1 = 1

LCM(5069,3023) = ( 5069 × 3023 ) / 1

LCM(5069,3023) = 15323587 / 1

LCM(5069,3023) = 15323587


Lets's calculate GCF of 506,3383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15323587/1

Therefore the LCM of Fractions 5069/506,3023/3383 is 15323587

Greatest Common Factor of 506,3383 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,3383 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 3383

List of positive integer factors of 3383 that divides 3383 without a remainder.

1,17,199,3383

Greatest Common Factor

We found the factors 506,3383 . The biggest common factor number is the GCF number.
So the greatest common factor 506,3383 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 5069/506, 3023/3383

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 5069/506, 3023/3383?

Answer: LCM of Numerators as per given numbers 5069/506, 3023/3383 is

LCM of Numerators i.e. for 5069,3023 is 15323587

GCF of denominators i.e. for 506,3383 is 1.

Thus, LCM of Fractions is 15323587.Finally, LCM of Fractions for 5069/506, 3023/3383 is 15323587.