Least Common Multiple of 14/233, 196/343, 496/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/233, 196/343, 496/455 quickly i.e. 24304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/233, 196/343, 496/455 is 24304.

LCM(14/233, 196/343, 496/455) = 24304

LCM of 14/233, 196/343, 496/455

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 14/233,196/343,496/455

Given numbers are 14/233,196/343,496/455

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 14,196,496

Least Common Multiple of Numerators i.e. LCM of 14,196,496 is 24304.

GCF of Denominators means GCF of 233,343,455 as per the given fractions.

GCF of 233,343,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,196,496

LCM of Fractions 14/233,196/343,496/455 is 24304

2 14, 196, 496
2 7, 98, 248
7 7, 49, 124
1, 7, 124

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 7 x 124 = 24304

Least Common Multiple of 14,196,496 with GCF Formula

Least Common Multiple of 14,196,496 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 14,196,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,196,496) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(14,196,496) x common factors =2 x 28 = 56

LCM(14,196,496) = ( 14 × 196 × 496 ) / 56

LCM(14,196,496) = 1361024 / 56

LCM(14,196,496) = 24304


Lets's calculate GCF of 233,343,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24304/1

Therefore the LCM of Fractions 14/233,196/343,496/455 is 24304

Greatest Common Factor of 233,343,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,343,455 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 233,343,455 . The biggest common factor number is the GCF number.
So the greatest common factor 233,343,455 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 14/233, 196/343, 496/455

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 14/233, 196/343, 496/455?

Answer: LCM of Numerators as per given numbers 14/233, 196/343, 496/455 is

LCM of Numerators i.e. for 14,196,496 is 24304

GCF of denominators i.e. for 233,343,455 is 1.

Thus, LCM of Fractions is 24304.Finally, LCM of Fractions for 14/233, 196/343, 496/455 is 24304.