Least Common Multiple of 9225/873, 3690/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9225/873, 3690/885 quickly i.e. 6150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9225/873, 3690/885 is 6150.

LCM(9225/873, 3690/885) = 6150

LCM of 9225/873, 3690/885

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 9225/873,3690/885

Given numbers are 9225/873,3690/885

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 9225,3690

Least Common Multiple of Numerators i.e. LCM of 9225,3690 is 18450.

GCF of Denominators means GCF of 873,885 as per the given fractions.

GCF of 873,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9225,3690

LCM of Fractions 9225/873,3690/885 is 6150

3 9225, 3690
3 3075, 1230
5 1025, 410
41 205, 82
5, 2

∴ So the LCM of the given numbers is 3 x 3 x 5 x 41 x 5 x 2 = 18450

Least Common Multiple of 9225,3690 with GCF Formula

Least Common Multiple of 9225,3690 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 9225,3690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9225,3690) = 1845

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

GCF(9225,3690) x common factors =1845 x 1 = 1845

LCM(9225,3690) = ( 9225 × 3690 ) / 1845

LCM(9225,3690) = 34040250 / 1845

LCM(9225,3690) = 18450


Lets's calculate GCF of 873,885

3 873, 885
291, 295

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18450/3

Therefore the LCM of Fractions 9225/873,3690/885 is 6150

Greatest Common Factor of 873,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,885 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 873,885 . The biggest common factor number is the GCF number.
So the greatest common factor 873,885 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9225/873, 3690/885

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 9225/873, 3690/885?

Answer: LCM of Numerators as per given numbers 9225/873, 3690/885 is

LCM of Numerators i.e. for 9225,3690 is 18450

GCF of denominators i.e. for 873,885 is 3.

Thus, LCM of Fractions is 6150.Finally, LCM of Fractions for 9225/873, 3690/885 is 6150.