Least Common Multiple of 489/880, 1023/5302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/880, 1023/5302 quickly i.e. 166749/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/880, 1023/5302 is 166749/22.

LCM(489/880, 1023/5302) = 166749/22

LCM of 489/880, 1023/5302

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 489/880,1023/5302

Given numbers are 489/880,1023/5302

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 489,1023

Least Common Multiple of Numerators i.e. LCM of 489,1023 is 166749.

GCF of Denominators means GCF of 880,5302 as per the given fractions.

GCF of 880,5302 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,1023

LCM of Fractions 489/880,1023/5302 is 166749/22

3 489, 1023
163, 341

∴ So the LCM of the given numbers is 3 x 163 x 341 = 166749

Least Common Multiple of 489,1023 with GCF Formula

Least Common Multiple of 489,1023 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 489,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,1023) = 3

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

GCF(489,1023) x common factors =3 x 1 = 3

LCM(489,1023) = ( 489 × 1023 ) / 3

LCM(489,1023) = 500247 / 3

LCM(489,1023) = 166749


Lets's calculate GCF of 880,5302

2 880, 5302
11 440, 2651
40, 241

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166749/22

Therefore the LCM of Fractions 489/880,1023/5302 is 166749/22

Greatest Common Factor of 880,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,5302 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 880,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 880,5302 is 22.


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 489/880, 1023/5302

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 489/880, 1023/5302?

Answer: LCM of Numerators as per given numbers 489/880, 1023/5302 is

LCM of Numerators i.e. for 489,1023 is 166749

GCF of denominators i.e. for 880,5302 is 22.

Thus, LCM of Fractions is 166749/22.Finally, LCM of Fractions for 489/880, 1023/5302 is 166749/22.