Least Common Multiple of 709/347, 723/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/347, 723/162 quickly i.e. 512607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/347, 723/162 is 512607.

LCM(709/347, 723/162) = 512607

LCM of 709/347, 723/162

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 709/347,723/162

Given numbers are 709/347,723/162

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 709,723

Least Common Multiple of Numerators i.e. LCM of 709,723 is 512607.

GCF of Denominators means GCF of 347,162 as per the given fractions.

GCF of 347,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,723

LCM of Fractions 709/347,723/162 is 512607

Given numbers has no common factors except 1. So, there LCM is their product i.e 512607

Least Common Multiple of 709,723 with GCF Formula

Least Common Multiple of 709,723 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 709,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,723) = 1

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

GCF(709,723) x common factors =1 x 1 = 1

LCM(709,723) = ( 709 × 723 ) / 1

LCM(709,723) = 512607 / 1

LCM(709,723) = 512607


Lets's calculate GCF of 347,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512607/1

Therefore the LCM of Fractions 709/347,723/162 is 512607

Greatest Common Factor of 347,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,162 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 347,162 . The biggest common factor number is the GCF number.
So the greatest common factor 347,162 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 709/347, 723/162

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 709/347, 723/162?

Answer: LCM of Numerators as per given numbers 709/347, 723/162 is

LCM of Numerators i.e. for 709,723 is 512607

GCF of denominators i.e. for 347,162 is 1.

Thus, LCM of Fractions is 512607.Finally, LCM of Fractions for 709/347, 723/162 is 512607.