Least Common Multiple of 489/68, 2270/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/68, 2270/493 quickly i.e. 1110030/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/68, 2270/493 is 1110030/17.

LCM(489/68, 2270/493) = 1110030/17

LCM of 489/68, 2270/493

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 489/68,2270/493

Given numbers are 489/68,2270/493

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 489,2270

Least Common Multiple of Numerators i.e. LCM of 489,2270 is 1110030.

GCF of Denominators means GCF of 68,493 as per the given fractions.

GCF of 68,493 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,2270

LCM of Fractions 489/68,2270/493 is 1110030/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 1110030

Least Common Multiple of 489,2270 with GCF Formula

Least Common Multiple of 489,2270 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 489,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,2270) = 1

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

GCF(489,2270) x common factors =1 x 1 = 1

LCM(489,2270) = ( 489 × 2270 ) / 1

LCM(489,2270) = 1110030 / 1

LCM(489,2270) = 1110030


Lets's calculate GCF of 68,493

17 68, 493
4, 29

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1110030/17

Therefore the LCM of Fractions 489/68,2270/493 is 1110030/17

Greatest Common Factor of 68,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,493 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 68,493 . The biggest common factor number is the GCF number.
So the greatest common factor 68,493 is 17.


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 489/68, 2270/493

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 489/68, 2270/493?

Answer: LCM of Numerators as per given numbers 489/68, 2270/493 is

LCM of Numerators i.e. for 489,2270 is 1110030

GCF of denominators i.e. for 68,493 is 17.

Thus, LCM of Fractions is 1110030/17.Finally, LCM of Fractions for 489/68, 2270/493 is 1110030/17.