Least Common Multiple of 164/559, 691/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 164/559, 691/178 quickly i.e. 113324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/559, 691/178 is 113324.

LCM(164/559, 691/178) = 113324

LCM of 164/559, 691/178

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 164/559,691/178

Given numbers are 164/559,691/178

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 164,691

Least Common Multiple of Numerators i.e. LCM of 164,691 is 113324.

GCF of Denominators means GCF of 559,178 as per the given fractions.

GCF of 559,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,691

LCM of Fractions 164/559,691/178 is 113324

Given numbers has no common factors except 1. So, there LCM is their product i.e 113324

Least Common Multiple of 164,691 with GCF Formula

Least Common Multiple of 164,691 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 164,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,691) = 1

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

GCF(164,691) x common factors =1 x 1 = 1

LCM(164,691) = ( 164 × 691 ) / 1

LCM(164,691) = 113324 / 1

LCM(164,691) = 113324


Lets's calculate GCF of 559,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113324/1

Therefore the LCM of Fractions 164/559,691/178 is 113324

Greatest Common Factor of 559,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,178 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 559,178 . The biggest common factor number is the GCF number.
So the greatest common factor 559,178 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 164/559, 691/178

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 164/559, 691/178?

Answer: LCM of Numerators as per given numbers 164/559, 691/178 is

LCM of Numerators i.e. for 164,691 is 113324

GCF of denominators i.e. for 559,178 is 1.

Thus, LCM of Fractions is 113324.Finally, LCM of Fractions for 164/559, 691/178 is 113324.