Least Common Multiple of 6887/483, 4997/7825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6887/483, 4997/7825 quickly i.e. 34414339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6887/483, 4997/7825 is 34414339.

LCM(6887/483, 4997/7825) = 34414339

LCM of 6887/483, 4997/7825

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 6887/483,4997/7825

Given numbers are 6887/483,4997/7825

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 6887,4997

Least Common Multiple of Numerators i.e. LCM of 6887,4997 is 34414339.

GCF of Denominators means GCF of 483,7825 as per the given fractions.

GCF of 483,7825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6887,4997

LCM of Fractions 6887/483,4997/7825 is 34414339

Given numbers has no common factors except 1. So, there LCM is their product i.e 34414339

Least Common Multiple of 6887,4997 with GCF Formula

Least Common Multiple of 6887,4997 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 6887,4997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6887,4997) = 1

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

GCF(6887,4997) x common factors =1 x 1 = 1

LCM(6887,4997) = ( 6887 × 4997 ) / 1

LCM(6887,4997) = 34414339 / 1

LCM(6887,4997) = 34414339


Lets's calculate GCF of 483,7825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34414339/1

Therefore the LCM of Fractions 6887/483,4997/7825 is 34414339

Greatest Common Factor of 483,7825 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,7825 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1,5,25,313,1565,7825

Greatest Common Factor

We found the factors 483,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 483,7825 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 6887/483, 4997/7825

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 6887/483, 4997/7825?

Answer: LCM of Numerators as per given numbers 6887/483, 4997/7825 is

LCM of Numerators i.e. for 6887,4997 is 34414339

GCF of denominators i.e. for 483,7825 is 1.

Thus, LCM of Fractions is 34414339.Finally, LCM of Fractions for 6887/483, 4997/7825 is 34414339.