Least Common Multiple of 300/494, 338/416, 923/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/494, 338/416, 923/996 quickly i.e. 1799850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/494, 338/416, 923/996 is 1799850.

LCM(300/494, 338/416, 923/996) = 1799850

LCM of 300/494, 338/416, 923/996

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 300/494,338/416,923/996

Given numbers are 300/494,338/416,923/996

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 300,338,923

Least Common Multiple of Numerators i.e. LCM of 300,338,923 is 3599700.

GCF of Denominators means GCF of 494,416,996 as per the given fractions.

GCF of 494,416,996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,338,923

LCM of Fractions 300/494,338/416,923/996 is 1799850

2 300, 338, 923
13 150, 169, 923
150, 13, 71

∴ So the LCM of the given numbers is 2 x 13 x 150 x 13 x 71 = 3599700

Least Common Multiple of 300,338,923 with GCF Formula

Least Common Multiple of 300,338,923 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 300,338,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,338,923) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(300,338,923) x common factors =1 x 26 = 26

LCM(300,338,923) = ( 300 × 338 × 923 ) / 26

LCM(300,338,923) = 93592200 / 26

LCM(300,338,923) = 3599700


Lets's calculate GCF of 494,416,996

2 494, 416, 996
247, 208, 498

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3599700/2

Therefore the LCM of Fractions 300/494,338/416,923/996 is 1799850

Greatest Common Factor of 494,416,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,416,996 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 494,416,996 . The biggest common factor number is the GCF number.
So the greatest common factor 494,416,996 is 2.


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 300/494, 338/416, 923/996

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 300/494, 338/416, 923/996?

Answer: LCM of Numerators as per given numbers 300/494, 338/416, 923/996 is

LCM of Numerators i.e. for 300,338,923 is 3599700

GCF of denominators i.e. for 494,416,996 is 2.

Thus, LCM of Fractions is 1799850.Finally, LCM of Fractions for 300/494, 338/416, 923/996 is 1799850.