Least Common Multiple of 825/207, 224/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/207, 224/111 quickly i.e. 61600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/207, 224/111 is 61600.

LCM(825/207, 224/111) = 61600

LCM of 825/207, 224/111

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 825/207,224/111

Given numbers are 825/207,224/111

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 825,224

Least Common Multiple of Numerators i.e. LCM of 825,224 is 184800.

GCF of Denominators means GCF of 207,111 as per the given fractions.

GCF of 207,111 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,224

LCM of Fractions 825/207,224/111 is 61600

Given numbers has no common factors except 1. So, there LCM is their product i.e 184800

Least Common Multiple of 825,224 with GCF Formula

Least Common Multiple of 825,224 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 825,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,224) = 1

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

GCF(825,224) x common factors =1 x 1 = 1

LCM(825,224) = ( 825 × 224 ) / 1

LCM(825,224) = 184800 / 1

LCM(825,224) = 184800


Lets's calculate GCF of 207,111

3 207, 111
69, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184800/3

Therefore the LCM of Fractions 825/207,224/111 is 61600

Greatest Common Factor of 207,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,111 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 207,111 . The biggest common factor number is the GCF number.
So the greatest common factor 207,111 is 3.


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 825/207, 224/111

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 825/207, 224/111?

Answer: LCM of Numerators as per given numbers 825/207, 224/111 is

LCM of Numerators i.e. for 825,224 is 184800

GCF of denominators i.e. for 207,111 is 3.

Thus, LCM of Fractions is 61600.Finally, LCM of Fractions for 825/207, 224/111 is 61600.