Least Common Multiple of 198/908, 891/969, 375/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/908, 891/969, 375/618 quickly i.e. 222750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/908, 891/969, 375/618 is 222750.

LCM(198/908, 891/969, 375/618) = 222750

LCM of 198/908, 891/969, 375/618

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 198/908,891/969,375/618

Given numbers are 198/908,891/969,375/618

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 198,891,375

Least Common Multiple of Numerators i.e. LCM of 198,891,375 is 222750.

GCF of Denominators means GCF of 908,969,618 as per the given fractions.

GCF of 908,969,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,891,375

LCM of Fractions 198/908,891/969,375/618 is 222750

3 198, 891, 375
3 66, 297, 125
11 22, 99, 125
2, 9, 125

∴ So the LCM of the given numbers is 3 x 3 x 11 x 2 x 9 x 125 = 222750

Least Common Multiple of 198,891,375 with GCF Formula

Least Common Multiple of 198,891,375 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 198,891,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,891,375) = 3

common factors(in case of two or more numbers have common factors) = 99

GCF(198,891,375) x common factors =3 x 99 = 297

LCM(198,891,375) = ( 198 × 891 × 375 ) / 297

LCM(198,891,375) = 66156750 / 297

LCM(198,891,375) = 222750


Lets's calculate GCF of 908,969,618

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222750/1

Therefore the LCM of Fractions 198/908,891/969,375/618 is 222750

Greatest Common Factor of 908,969,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,969,618 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 908,969,618 . The biggest common factor number is the GCF number.
So the greatest common factor 908,969,618 is 1.


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 198/908, 891/969, 375/618

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 198/908, 891/969, 375/618?

Answer: LCM of Numerators as per given numbers 198/908, 891/969, 375/618 is

LCM of Numerators i.e. for 198,891,375 is 222750

GCF of denominators i.e. for 908,969,618 is 1.

Thus, LCM of Fractions is 222750.Finally, LCM of Fractions for 198/908, 891/969, 375/618 is 222750.