Least Common Multiple of 489/354, 6060/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/354, 6060/102 quickly i.e. 164630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/354, 6060/102 is 164630.

LCM(489/354, 6060/102) = 164630

LCM of 489/354, 6060/102

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 489/354,6060/102

Given numbers are 489/354,6060/102

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 489,6060

Least Common Multiple of Numerators i.e. LCM of 489,6060 is 987780.

GCF of Denominators means GCF of 354,102 as per the given fractions.

GCF of 354,102 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,6060

LCM of Fractions 489/354,6060/102 is 164630

3 489, 6060
163, 2020

∴ So the LCM of the given numbers is 3 x 163 x 2020 = 987780

Least Common Multiple of 489,6060 with GCF Formula

Least Common Multiple of 489,6060 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 489,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,6060) = 3

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

GCF(489,6060) x common factors =3 x 1 = 3

LCM(489,6060) = ( 489 × 6060 ) / 3

LCM(489,6060) = 2963340 / 3

LCM(489,6060) = 987780


Lets's calculate GCF of 354,102

2 354, 102
3 177, 51
59, 17

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 987780/6

Therefore the LCM of Fractions 489/354,6060/102 is 164630

Greatest Common Factor of 354,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,102 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 354,102 . The biggest common factor number is the GCF number.
So the greatest common factor 354,102 is 6.


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 489/354, 6060/102

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 489/354, 6060/102?

Answer: LCM of Numerators as per given numbers 489/354, 6060/102 is

LCM of Numerators i.e. for 489,6060 is 987780

GCF of denominators i.e. for 354,102 is 6.

Thus, LCM of Fractions is 164630.Finally, LCM of Fractions for 489/354, 6060/102 is 164630.