Least Common Multiple of 69/898, 6824/9075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/898, 6824/9075 quickly i.e. 470856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/898, 6824/9075 is 470856.

LCM(69/898, 6824/9075) = 470856

LCM of 69/898, 6824/9075

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 69/898,6824/9075

Given numbers are 69/898,6824/9075

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 69,6824

Least Common Multiple of Numerators i.e. LCM of 69,6824 is 470856.

GCF of Denominators means GCF of 898,9075 as per the given fractions.

GCF of 898,9075 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,6824

LCM of Fractions 69/898,6824/9075 is 470856

Given numbers has no common factors except 1. So, there LCM is their product i.e 470856

Least Common Multiple of 69,6824 with GCF Formula

Least Common Multiple of 69,6824 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 69,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,6824) = 1

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

GCF(69,6824) x common factors =1 x 1 = 1

LCM(69,6824) = ( 69 × 6824 ) / 1

LCM(69,6824) = 470856 / 1

LCM(69,6824) = 470856


Lets's calculate GCF of 898,9075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470856/1

Therefore the LCM of Fractions 69/898,6824/9075 is 470856

Greatest Common Factor of 898,9075 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,9075 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075

Greatest Common Factor

We found the factors 898,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 898,9075 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 69/898, 6824/9075

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 69/898, 6824/9075?

Answer: LCM of Numerators as per given numbers 69/898, 6824/9075 is

LCM of Numerators i.e. for 69,6824 is 470856

GCF of denominators i.e. for 898,9075 is 1.

Thus, LCM of Fractions is 470856.Finally, LCM of Fractions for 69/898, 6824/9075 is 470856.