Least Common Multiple of 60/404, 6826/6900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/404, 6826/6900 quickly i.e. 51195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/404, 6826/6900 is 51195.

LCM(60/404, 6826/6900) = 51195

LCM of 60/404, 6826/6900

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 60/404,6826/6900

Given numbers are 60/404,6826/6900

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 60,6826

Least Common Multiple of Numerators i.e. LCM of 60,6826 is 204780.

GCF of Denominators means GCF of 404,6900 as per the given fractions.

GCF of 404,6900 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,6826

LCM of Fractions 60/404,6826/6900 is 51195

2 60, 6826
30, 3413

∴ So the LCM of the given numbers is 2 x 30 x 3413 = 204780

Least Common Multiple of 60,6826 with GCF Formula

Least Common Multiple of 60,6826 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 60,6826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,6826) = 2

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

GCF(60,6826) x common factors =2 x 1 = 2

LCM(60,6826) = ( 60 × 6826 ) / 2

LCM(60,6826) = 409560 / 2

LCM(60,6826) = 204780


Lets's calculate GCF of 404,6900

2 404, 6900
2 202, 3450
101, 1725

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204780/4

Therefore the LCM of Fractions 60/404,6826/6900 is 51195

Greatest Common Factor of 404,6900 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,6900 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900

Greatest Common Factor

We found the factors 404,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 404,6900 is 4.


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 60/404, 6826/6900

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 60/404, 6826/6900?

Answer: LCM of Numerators as per given numbers 60/404, 6826/6900 is

LCM of Numerators i.e. for 60,6826 is 204780

GCF of denominators i.e. for 404,6900 is 4.

Thus, LCM of Fractions is 51195.Finally, LCM of Fractions for 60/404, 6826/6900 is 51195.