Least Common Multiple of 14/408, 468/194, 900/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/408, 468/194, 900/923 quickly i.e. 81900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/408, 468/194, 900/923 is 81900.

LCM(14/408, 468/194, 900/923) = 81900

LCM of 14/408, 468/194, 900/923

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 14/408,468/194,900/923

Given numbers are 14/408,468/194,900/923

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 14,468,900

Least Common Multiple of Numerators i.e. LCM of 14,468,900 is 81900.

GCF of Denominators means GCF of 408,194,923 as per the given fractions.

GCF of 408,194,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,468,900

LCM of Fractions 14/408,468/194,900/923 is 81900

2 14, 468, 900
2 7, 234, 450
3 7, 117, 225
3 7, 39, 75
7, 13, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 13 x 25 = 81900

Least Common Multiple of 14,468,900 with GCF Formula

Least Common Multiple of 14,468,900 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 14,468,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,468,900) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(14,468,900) x common factors =2 x 36 = 72

LCM(14,468,900) = ( 14 × 468 × 900 ) / 72

LCM(14,468,900) = 5896800 / 72

LCM(14,468,900) = 81900


Lets's calculate GCF of 408,194,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81900/1

Therefore the LCM of Fractions 14/408,468/194,900/923 is 81900

Greatest Common Factor of 408,194,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,194,923 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 408,194,923 . The biggest common factor number is the GCF number.
So the greatest common factor 408,194,923 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 14/408, 468/194, 900/923

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 14/408, 468/194, 900/923?

Answer: LCM of Numerators as per given numbers 14/408, 468/194, 900/923 is

LCM of Numerators i.e. for 14,468,900 is 81900

GCF of denominators i.e. for 408,194,923 is 1.

Thus, LCM of Fractions is 81900.Finally, LCM of Fractions for 14/408, 468/194, 900/923 is 81900.