Least Common Multiple of 179/80, 470/8765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 179/80, 470/8765 quickly i.e. 16826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/80, 470/8765 is 16826.

LCM(179/80, 470/8765) = 16826

LCM of 179/80, 470/8765

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 179/80,470/8765

Given numbers are 179/80,470/8765

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 179,470

Least Common Multiple of Numerators i.e. LCM of 179,470 is 84130.

GCF of Denominators means GCF of 80,8765 as per the given fractions.

GCF of 80,8765 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,470

LCM of Fractions 179/80,470/8765 is 16826

Given numbers has no common factors except 1. So, there LCM is their product i.e 84130

Least Common Multiple of 179,470 with GCF Formula

Least Common Multiple of 179,470 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 179,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,470) = 1

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

GCF(179,470) x common factors =1 x 1 = 1

LCM(179,470) = ( 179 × 470 ) / 1

LCM(179,470) = 84130 / 1

LCM(179,470) = 84130


Lets's calculate GCF of 80,8765

5 80, 8765
16, 1753

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84130/5

Therefore the LCM of Fractions 179/80,470/8765 is 16826

Greatest Common Factor of 80,8765 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,8765 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 8765

List of positive integer factors of 8765 that divides 8765 without a remainder.

1,5,1753,8765

Greatest Common Factor

We found the factors 80,8765 . The biggest common factor number is the GCF number.
So the greatest common factor 80,8765 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 179/80, 470/8765

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 179/80, 470/8765?

Answer: LCM of Numerators as per given numbers 179/80, 470/8765 is

LCM of Numerators i.e. for 179,470 is 84130

GCF of denominators i.e. for 80,8765 is 5.

Thus, LCM of Fractions is 16826.Finally, LCM of Fractions for 179/80, 470/8765 is 16826.