Least Common Multiple of 6825/289, 6163/4824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6825/289, 6163/4824 quickly i.e. 42062475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6825/289, 6163/4824 is 42062475.

LCM(6825/289, 6163/4824) = 42062475

LCM of 6825/289, 6163/4824

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 6825/289,6163/4824

Given numbers are 6825/289,6163/4824

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 6825,6163

Least Common Multiple of Numerators i.e. LCM of 6825,6163 is 42062475.

GCF of Denominators means GCF of 289,4824 as per the given fractions.

GCF of 289,4824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6825,6163

LCM of Fractions 6825/289,6163/4824 is 42062475

Given numbers has no common factors except 1. So, there LCM is their product i.e 42062475

Least Common Multiple of 6825,6163 with GCF Formula

Least Common Multiple of 6825,6163 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 6825,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6825,6163) = 1

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

GCF(6825,6163) x common factors =1 x 1 = 1

LCM(6825,6163) = ( 6825 × 6163 ) / 1

LCM(6825,6163) = 42062475 / 1

LCM(6825,6163) = 42062475


Lets's calculate GCF of 289,4824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42062475/1

Therefore the LCM of Fractions 6825/289,6163/4824 is 42062475

Greatest Common Factor of 289,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,4824 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors 289,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 289,4824 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 6825/289, 6163/4824

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 6825/289, 6163/4824?

Answer: LCM of Numerators as per given numbers 6825/289, 6163/4824 is

LCM of Numerators i.e. for 6825,6163 is 42062475

GCF of denominators i.e. for 289,4824 is 1.

Thus, LCM of Fractions is 42062475.Finally, LCM of Fractions for 6825/289, 6163/4824 is 42062475.