Least Common Multiple of 9/588, 1/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9/588, 1/196 quickly i.e. 9/196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/588, 1/196 is 9/196.

LCM(9/588, 1/196) = 9/196

LCM of 9/588, 1/196

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 9/588,1/196

Given numbers are 9/588,1/196

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 9,1

Least Common Multiple of Numerators i.e. LCM of 9,1 is 9.

GCF of Denominators means GCF of 588,196 as per the given fractions.

GCF of 588,196 is 196 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,1

LCM of Fractions 9/588,1/196 is 9/196

Given numbers has no common factors except 1. So, there LCM is their product i.e 9

Least Common Multiple of 9,1 with GCF Formula

Least Common Multiple of 9,1 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 9,1 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,1) = 1

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

GCF(9,1) x common factors =1 x 1 = 1

LCM(9,1) = ( 9 × 1 ) / 1

LCM(9,1) = 9 / 1

LCM(9,1) = 9


Lets's calculate GCF of 588,196

2 588, 196
2 294, 98
7 147, 49
7 21, 7
3, 1

∴ So the GCF of the given numbers is 2 x 2 x 7 x 7 = 196

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9/196

Therefore the LCM of Fractions 9/588,1/196 is 9/196

Greatest Common Factor of 588,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,196 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 588,196 . The biggest common factor number is the GCF number.
So the greatest common factor 588,196 is 196.


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Frequently Asked Questions on Fractional LCM of 9/588, 1/196

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 9/588, 1/196?

Answer: LCM of Numerators as per given numbers 9/588, 1/196 is

LCM of Numerators i.e. for 9,1 is 9

GCF of denominators i.e. for 588,196 is 196.

Thus, LCM of Fractions is 9/196.Finally, LCM of Fractions for 9/588, 1/196 is 9/196.