Least Common Multiple of 824/183, 251/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/183, 251/551 quickly i.e. 206824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/183, 251/551 is 206824.

LCM(824/183, 251/551) = 206824

LCM of 824/183, 251/551

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 824/183,251/551

Given numbers are 824/183,251/551

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 824,251

Least Common Multiple of Numerators i.e. LCM of 824,251 is 206824.

GCF of Denominators means GCF of 183,551 as per the given fractions.

GCF of 183,551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,251

LCM of Fractions 824/183,251/551 is 206824

Given numbers has no common factors except 1. So, there LCM is their product i.e 206824

Least Common Multiple of 824,251 with GCF Formula

Least Common Multiple of 824,251 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 824,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,251) = 1

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

GCF(824,251) x common factors =1 x 1 = 1

LCM(824,251) = ( 824 × 251 ) / 1

LCM(824,251) = 206824 / 1

LCM(824,251) = 206824


Lets's calculate GCF of 183,551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206824/1

Therefore the LCM of Fractions 824/183,251/551 is 206824

Greatest Common Factor of 183,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,551 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 183,551 . The biggest common factor number is the GCF number.
So the greatest common factor 183,551 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 824/183, 251/551

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 824/183, 251/551?

Answer: LCM of Numerators as per given numbers 824/183, 251/551 is

LCM of Numerators i.e. for 824,251 is 206824

GCF of denominators i.e. for 183,551 is 1.

Thus, LCM of Fractions is 206824.Finally, LCM of Fractions for 824/183, 251/551 is 206824.