Least Common Multiple of 177/73, 470/6692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 177/73, 470/6692 quickly i.e. 83190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/73, 470/6692 is 83190.

LCM(177/73, 470/6692) = 83190

LCM of 177/73, 470/6692

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 177/73,470/6692

Given numbers are 177/73,470/6692

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 177,470

Least Common Multiple of Numerators i.e. LCM of 177,470 is 83190.

GCF of Denominators means GCF of 73,6692 as per the given fractions.

GCF of 73,6692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,470

LCM of Fractions 177/73,470/6692 is 83190

Given numbers has no common factors except 1. So, there LCM is their product i.e 83190

Least Common Multiple of 177,470 with GCF Formula

Least Common Multiple of 177,470 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 177,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,470) = 1

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

GCF(177,470) x common factors =1 x 1 = 1

LCM(177,470) = ( 177 × 470 ) / 1

LCM(177,470) = 83190 / 1

LCM(177,470) = 83190


Lets's calculate GCF of 73,6692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83190/1

Therefore the LCM of Fractions 177/73,470/6692 is 83190

Greatest Common Factor of 73,6692 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,6692 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 6692

List of positive integer factors of 6692 that divides 6692 without a remainder.

1,2,4,7,14,28,239,478,956,1673,3346,6692

Greatest Common Factor

We found the factors 73,6692 . The biggest common factor number is the GCF number.
So the greatest common factor 73,6692 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 177/73, 470/6692

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 177/73, 470/6692?

Answer: LCM of Numerators as per given numbers 177/73, 470/6692 is

LCM of Numerators i.e. for 177,470 is 83190

GCF of denominators i.e. for 73,6692 is 1.

Thus, LCM of Fractions is 83190.Finally, LCM of Fractions for 177/73, 470/6692 is 83190.