Least Common Multiple of 197/42, 119/33, 824/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 197/42, 119/33, 824/604 quickly i.e. 19317032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 197/42, 119/33, 824/604 is 19317032.

LCM(197/42, 119/33, 824/604) = 19317032

LCM of 197/42, 119/33, 824/604

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 197/42,119/33,824/604

Given numbers are 197/42,119/33,824/604

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 197,119,824

Least Common Multiple of Numerators i.e. LCM of 197,119,824 is 19317032.

GCF of Denominators means GCF of 42,33,604 as per the given fractions.

GCF of 42,33,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 197,119,824

LCM of Fractions 197/42,119/33,824/604 is 19317032

Given numbers has no common factors except 1. So, there LCM is their product i.e 19317032

Least Common Multiple of 197,119,824 with GCF Formula

Least Common Multiple of 197,119,824 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 197,119,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,119,824) = 1

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

GCF(197,119,824) x common factors =1 x 1 = 1

LCM(197,119,824) = ( 197 × 119 × 824 ) / 1

LCM(197,119,824) = 19317032 / 1

LCM(197,119,824) = 19317032


Lets's calculate GCF of 42,33,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19317032/1

Therefore the LCM of Fractions 197/42,119/33,824/604 is 19317032

Greatest Common Factor of 42,33,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,33,604 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 42,33,604 . The biggest common factor number is the GCF number.
So the greatest common factor 42,33,604 is 1.


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 197/42, 119/33, 824/604

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 197/42, 119/33, 824/604?

Answer: LCM of Numerators as per given numbers 197/42, 119/33, 824/604 is

LCM of Numerators i.e. for 197,119,824 is 19317032

GCF of denominators i.e. for 42,33,604 is 1.

Thus, LCM of Fractions is 19317032.Finally, LCM of Fractions for 197/42, 119/33, 824/604 is 19317032.