Least Common Multiple of 449/714, 226/992, 289/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/714, 226/992, 289/498 quickly i.e. 14662993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/714, 226/992, 289/498 is 14662993.

LCM(449/714, 226/992, 289/498) = 14662993

LCM of 449/714, 226/992, 289/498

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 449/714,226/992,289/498

Given numbers are 449/714,226/992,289/498

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 449,226,289

Least Common Multiple of Numerators i.e. LCM of 449,226,289 is 29325986.

GCF of Denominators means GCF of 714,992,498 as per the given fractions.

GCF of 714,992,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,226,289

LCM of Fractions 449/714,226/992,289/498 is 14662993

Given numbers has no common factors except 1. So, there LCM is their product i.e 29325986

Least Common Multiple of 449,226,289 with GCF Formula

Least Common Multiple of 449,226,289 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 449,226,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,226,289) = 1

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

GCF(449,226,289) x common factors =1 x 1 = 1

LCM(449,226,289) = ( 449 × 226 × 289 ) / 1

LCM(449,226,289) = 29325986 / 1

LCM(449,226,289) = 29325986


Lets's calculate GCF of 714,992,498

2 714, 992, 498
357, 496, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29325986/2

Therefore the LCM of Fractions 449/714,226/992,289/498 is 14662993

Greatest Common Factor of 714,992,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,992,498 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 714,992,498 . The biggest common factor number is the GCF number.
So the greatest common factor 714,992,498 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 449/714, 226/992, 289/498

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 449/714, 226/992, 289/498?

Answer: LCM of Numerators as per given numbers 449/714, 226/992, 289/498 is

LCM of Numerators i.e. for 449,226,289 is 29325986

GCF of denominators i.e. for 714,992,498 is 2.

Thus, LCM of Fractions is 14662993.Finally, LCM of Fractions for 449/714, 226/992, 289/498 is 14662993.