Least Common Multiple of 825/54, 806/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/54, 806/679 quickly i.e. 664950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/54, 806/679 is 664950.

LCM(825/54, 806/679) = 664950

LCM of 825/54, 806/679

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 825/54,806/679

Given numbers are 825/54,806/679

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 825,806

Least Common Multiple of Numerators i.e. LCM of 825,806 is 664950.

GCF of Denominators means GCF of 54,679 as per the given fractions.

GCF of 54,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,806

LCM of Fractions 825/54,806/679 is 664950

Given numbers has no common factors except 1. So, there LCM is their product i.e 664950

Least Common Multiple of 825,806 with GCF Formula

Least Common Multiple of 825,806 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 825,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,806) = 1

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

GCF(825,806) x common factors =1 x 1 = 1

LCM(825,806) = ( 825 × 806 ) / 1

LCM(825,806) = 664950 / 1

LCM(825,806) = 664950


Lets's calculate GCF of 54,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664950/1

Therefore the LCM of Fractions 825/54,806/679 is 664950

Greatest Common Factor of 54,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,679 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 54,679 . The biggest common factor number is the GCF number.
So the greatest common factor 54,679 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 825/54, 806/679

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 825/54, 806/679?

Answer: LCM of Numerators as per given numbers 825/54, 806/679 is

LCM of Numerators i.e. for 825,806 is 664950

GCF of denominators i.e. for 54,679 is 1.

Thus, LCM of Fractions is 664950.Finally, LCM of Fractions for 825/54, 806/679 is 664950.