Least Common Multiple of 197/36, 6894/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 197/36, 6894/574 quickly i.e. 679059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 197/36, 6894/574 is 679059.

LCM(197/36, 6894/574) = 679059

LCM of 197/36, 6894/574

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 197/36,6894/574

Given numbers are 197/36,6894/574

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 197,6894

Least Common Multiple of Numerators i.e. LCM of 197,6894 is 1358118.

GCF of Denominators means GCF of 36,574 as per the given fractions.

GCF of 36,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 197,6894

LCM of Fractions 197/36,6894/574 is 679059

Given numbers has no common factors except 1. So, there LCM is their product i.e 1358118

Least Common Multiple of 197,6894 with GCF Formula

Least Common Multiple of 197,6894 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 197,6894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,6894) = 1

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

GCF(197,6894) x common factors =1 x 1 = 1

LCM(197,6894) = ( 197 × 6894 ) / 1

LCM(197,6894) = 1358118 / 1

LCM(197,6894) = 1358118


Lets's calculate GCF of 36,574

2 36, 574
18, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1358118/2

Therefore the LCM of Fractions 197/36,6894/574 is 679059

Greatest Common Factor of 36,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,574 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 36,574 . The biggest common factor number is the GCF number.
So the greatest common factor 36,574 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 197/36, 6894/574

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 197/36, 6894/574?

Answer: LCM of Numerators as per given numbers 197/36, 6894/574 is

LCM of Numerators i.e. for 197,6894 is 1358118

GCF of denominators i.e. for 36,574 is 2.

Thus, LCM of Fractions is 679059.Finally, LCM of Fractions for 197/36, 6894/574 is 679059.