Least Common Multiple of 6829/300, 8265/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6829/300, 8265/625 quickly i.e. 56441685/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6829/300, 8265/625 is 56441685/25.

LCM(6829/300, 8265/625) = 56441685/25

LCM of 6829/300, 8265/625

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 6829/300,8265/625

Given numbers are 6829/300,8265/625

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 6829,8265

Least Common Multiple of Numerators i.e. LCM of 6829,8265 is 56441685.

GCF of Denominators means GCF of 300,625 as per the given fractions.

GCF of 300,625 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6829,8265

LCM of Fractions 6829/300,8265/625 is 56441685/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 56441685

Least Common Multiple of 6829,8265 with GCF Formula

Least Common Multiple of 6829,8265 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 6829,8265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6829,8265) = 1

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

GCF(6829,8265) x common factors =1 x 1 = 1

LCM(6829,8265) = ( 6829 × 8265 ) / 1

LCM(6829,8265) = 56441685 / 1

LCM(6829,8265) = 56441685


Lets's calculate GCF of 300,625

5 300, 625
5 60, 125
12, 25

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56441685/25

Therefore the LCM of Fractions 6829/300,8265/625 is 56441685/25

Greatest Common Factor of 300,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,625 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 300,625 . The biggest common factor number is the GCF number.
So the greatest common factor 300,625 is 25.


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 6829/300, 8265/625

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 6829/300, 8265/625?

Answer: LCM of Numerators as per given numbers 6829/300, 8265/625 is

LCM of Numerators i.e. for 6829,8265 is 56441685

GCF of denominators i.e. for 300,625 is 25.

Thus, LCM of Fractions is 56441685/25.Finally, LCM of Fractions for 6829/300, 8265/625 is 56441685/25.