Least Common Multiple of 73/380, 6710/6027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/380, 6710/6027 quickly i.e. 489830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/380, 6710/6027 is 489830.

LCM(73/380, 6710/6027) = 489830

LCM of 73/380, 6710/6027

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 73/380,6710/6027

Given numbers are 73/380,6710/6027

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 73,6710

Least Common Multiple of Numerators i.e. LCM of 73,6710 is 489830.

GCF of Denominators means GCF of 380,6027 as per the given fractions.

GCF of 380,6027 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,6710

LCM of Fractions 73/380,6710/6027 is 489830

Given numbers has no common factors except 1. So, there LCM is their product i.e 489830

Least Common Multiple of 73,6710 with GCF Formula

Least Common Multiple of 73,6710 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 73,6710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,6710) = 1

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

GCF(73,6710) x common factors =1 x 1 = 1

LCM(73,6710) = ( 73 × 6710 ) / 1

LCM(73,6710) = 489830 / 1

LCM(73,6710) = 489830


Lets's calculate GCF of 380,6027

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489830/1

Therefore the LCM of Fractions 73/380,6710/6027 is 489830

Greatest Common Factor of 380,6027 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,6027 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 6027

List of positive integer factors of 6027 that divides 6027 without a remainder.

1,3,7,21,41,49,123,147,287,861,2009,6027

Greatest Common Factor

We found the factors 380,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 380,6027 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/380, 6710/6027

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 73/380, 6710/6027?

Answer: LCM of Numerators as per given numbers 73/380, 6710/6027 is

LCM of Numerators i.e. for 73,6710 is 489830

GCF of denominators i.e. for 380,6027 is 1.

Thus, LCM of Fractions is 489830.Finally, LCM of Fractions for 73/380, 6710/6027 is 489830.