Least Common Multiple of 195/454, 618/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 195/454, 618/388 quickly i.e. 20085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/454, 618/388 is 20085.

LCM(195/454, 618/388) = 20085

LCM of 195/454, 618/388

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 195/454,618/388

Given numbers are 195/454,618/388

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 195,618

Least Common Multiple of Numerators i.e. LCM of 195,618 is 40170.

GCF of Denominators means GCF of 454,388 as per the given fractions.

GCF of 454,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,618

LCM of Fractions 195/454,618/388 is 20085

3 195, 618
65, 206

∴ So the LCM of the given numbers is 3 x 65 x 206 = 40170

Least Common Multiple of 195,618 with GCF Formula

Least Common Multiple of 195,618 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 195,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,618) = 3

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

GCF(195,618) x common factors =3 x 1 = 3

LCM(195,618) = ( 195 × 618 ) / 3

LCM(195,618) = 120510 / 3

LCM(195,618) = 40170


Lets's calculate GCF of 454,388

2 454, 388
227, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40170/2

Therefore the LCM of Fractions 195/454,618/388 is 20085

Greatest Common Factor of 454,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,388 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 454,388 . The biggest common factor number is the GCF number.
So the greatest common factor 454,388 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 195/454, 618/388

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 195/454, 618/388?

Answer: LCM of Numerators as per given numbers 195/454, 618/388 is

LCM of Numerators i.e. for 195,618 is 40170

GCF of denominators i.e. for 454,388 is 2.

Thus, LCM of Fractions is 20085.Finally, LCM of Fractions for 195/454, 618/388 is 20085.