Least Common Multiple of 198/45, 153/82, 578/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/45, 153/82, 578/787 quickly i.e. 57222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/45, 153/82, 578/787 is 57222.

LCM(198/45, 153/82, 578/787) = 57222

LCM of 198/45, 153/82, 578/787

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 198/45,153/82,578/787

Given numbers are 198/45,153/82,578/787

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 198,153,578

Least Common Multiple of Numerators i.e. LCM of 198,153,578 is 57222.

GCF of Denominators means GCF of 45,82,787 as per the given fractions.

GCF of 45,82,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,153,578

LCM of Fractions 198/45,153/82,578/787 is 57222

2 198, 153, 578
3 99, 153, 289
3 33, 51, 289
17 11, 17, 289
11, 1, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 11 x 1 x 17 = 57222

Least Common Multiple of 198,153,578 with GCF Formula

Least Common Multiple of 198,153,578 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 198,153,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,153,578) = 1

common factors(in case of two or more numbers have common factors) = 306

GCF(198,153,578) x common factors =1 x 306 = 306

LCM(198,153,578) = ( 198 × 153 × 578 ) / 306

LCM(198,153,578) = 17509932 / 306

LCM(198,153,578) = 57222


Lets's calculate GCF of 45,82,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57222/1

Therefore the LCM of Fractions 198/45,153/82,578/787 is 57222

Greatest Common Factor of 45,82,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,82,787 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 45,82,787 . The biggest common factor number is the GCF number.
So the greatest common factor 45,82,787 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 198/45, 153/82, 578/787

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 198/45, 153/82, 578/787?

Answer: LCM of Numerators as per given numbers 198/45, 153/82, 578/787 is

LCM of Numerators i.e. for 198,153,578 is 57222

GCF of denominators i.e. for 45,82,787 is 1.

Thus, LCM of Fractions is 57222.Finally, LCM of Fractions for 198/45, 153/82, 578/787 is 57222.