Least Common Multiple of 709/588, 462/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/588, 462/176 quickly i.e. 327558/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/588, 462/176 is 327558/4.

LCM(709/588, 462/176) = 327558/4

LCM of 709/588, 462/176

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 709/588,462/176

Given numbers are 709/588,462/176

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 709,462

Least Common Multiple of Numerators i.e. LCM of 709,462 is 327558.

GCF of Denominators means GCF of 588,176 as per the given fractions.

GCF of 588,176 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,462

LCM of Fractions 709/588,462/176 is 327558/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 327558

Least Common Multiple of 709,462 with GCF Formula

Least Common Multiple of 709,462 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 709,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,462) = 1

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

GCF(709,462) x common factors =1 x 1 = 1

LCM(709,462) = ( 709 × 462 ) / 1

LCM(709,462) = 327558 / 1

LCM(709,462) = 327558


Lets's calculate GCF of 588,176

2 588, 176
2 294, 88
147, 44

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327558/4

Therefore the LCM of Fractions 709/588,462/176 is 327558/4

Greatest Common Factor of 588,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,176 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 588,176 . The biggest common factor number is the GCF number.
So the greatest common factor 588,176 is 4.


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 709/588, 462/176

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 709/588, 462/176?

Answer: LCM of Numerators as per given numbers 709/588, 462/176 is

LCM of Numerators i.e. for 709,462 is 327558

GCF of denominators i.e. for 588,176 is 4.

Thus, LCM of Fractions is 327558/4.Finally, LCM of Fractions for 709/588, 462/176 is 327558/4.