Least Common Multiple of 673/590, 1723/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 673/590, 1723/695 quickly i.e. 1159579/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 673/590, 1723/695 is 1159579/5.

LCM(673/590, 1723/695) = 1159579/5

LCM of 673/590, 1723/695

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 673/590,1723/695

Given numbers are 673/590,1723/695

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 673,1723

Least Common Multiple of Numerators i.e. LCM of 673,1723 is 1159579.

GCF of Denominators means GCF of 590,695 as per the given fractions.

GCF of 590,695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 673,1723

LCM of Fractions 673/590,1723/695 is 1159579/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1159579

Least Common Multiple of 673,1723 with GCF Formula

Least Common Multiple of 673,1723 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 673,1723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,1723) = 1

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

GCF(673,1723) x common factors =1 x 1 = 1

LCM(673,1723) = ( 673 × 1723 ) / 1

LCM(673,1723) = 1159579 / 1

LCM(673,1723) = 1159579


Lets's calculate GCF of 590,695

5 590, 695
118, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1159579/5

Therefore the LCM of Fractions 673/590,1723/695 is 1159579/5

Greatest Common Factor of 590,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,695 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 590,695 . The biggest common factor number is the GCF number.
So the greatest common factor 590,695 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 673/590, 1723/695

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 673/590, 1723/695?

Answer: LCM of Numerators as per given numbers 673/590, 1723/695 is

LCM of Numerators i.e. for 673,1723 is 1159579

GCF of denominators i.e. for 590,695 is 5.

Thus, LCM of Fractions is 1159579/5.Finally, LCM of Fractions for 673/590, 1723/695 is 1159579/5.