Least Common Multiple of 3505/69, 6163/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3505/69, 6163/283 quickly i.e. 21601315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3505/69, 6163/283 is 21601315.

LCM(3505/69, 6163/283) = 21601315

LCM of 3505/69, 6163/283

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 3505/69,6163/283

Given numbers are 3505/69,6163/283

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 3505,6163

Least Common Multiple of Numerators i.e. LCM of 3505,6163 is 21601315.

GCF of Denominators means GCF of 69,283 as per the given fractions.

GCF of 69,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3505,6163

LCM of Fractions 3505/69,6163/283 is 21601315

Given numbers has no common factors except 1. So, there LCM is their product i.e 21601315

Least Common Multiple of 3505,6163 with GCF Formula

Least Common Multiple of 3505,6163 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 3505,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3505,6163) = 1

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

GCF(3505,6163) x common factors =1 x 1 = 1

LCM(3505,6163) = ( 3505 × 6163 ) / 1

LCM(3505,6163) = 21601315 / 1

LCM(3505,6163) = 21601315


Lets's calculate GCF of 69,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21601315/1

Therefore the LCM of Fractions 3505/69,6163/283 is 21601315

Greatest Common Factor of 69,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,283 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 69,283 . The biggest common factor number is the GCF number.
So the greatest common factor 69,283 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 3505/69, 6163/283

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 3505/69, 6163/283?

Answer: LCM of Numerators as per given numbers 3505/69, 6163/283 is

LCM of Numerators i.e. for 3505,6163 is 21601315

GCF of denominators i.e. for 69,283 is 1.

Thus, LCM of Fractions is 21601315.Finally, LCM of Fractions for 3505/69, 6163/283 is 21601315.