Least Common Multiple of 923/99, 400/68, 827/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 923/99, 400/68, 827/242 quickly i.e. 305328400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/99, 400/68, 827/242 is 305328400.

LCM(923/99, 400/68, 827/242) = 305328400

LCM of 923/99, 400/68, 827/242

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 923/99,400/68,827/242

Given numbers are 923/99,400/68,827/242

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 923,400,827

Least Common Multiple of Numerators i.e. LCM of 923,400,827 is 305328400.

GCF of Denominators means GCF of 99,68,242 as per the given fractions.

GCF of 99,68,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,400,827

LCM of Fractions 923/99,400/68,827/242 is 305328400

Given numbers has no common factors except 1. So, there LCM is their product i.e 305328400

Least Common Multiple of 923,400,827 with GCF Formula

Least Common Multiple of 923,400,827 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 923,400,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,400,827) = 1

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

GCF(923,400,827) x common factors =1 x 1 = 1

LCM(923,400,827) = ( 923 × 400 × 827 ) / 1

LCM(923,400,827) = 305328400 / 1

LCM(923,400,827) = 305328400


Lets's calculate GCF of 99,68,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305328400/1

Therefore the LCM of Fractions 923/99,400/68,827/242 is 305328400

Greatest Common Factor of 99,68,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,68,242 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 99,68,242 . The biggest common factor number is the GCF number.
So the greatest common factor 99,68,242 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 923/99, 400/68, 827/242

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 923/99, 400/68, 827/242?

Answer: LCM of Numerators as per given numbers 923/99, 400/68, 827/242 is

LCM of Numerators i.e. for 923,400,827 is 305328400

GCF of denominators i.e. for 99,68,242 is 1.

Thus, LCM of Fractions is 305328400.Finally, LCM of Fractions for 923/99, 400/68, 827/242 is 305328400.