Least Common Multiple of 178/82, 384/62, 475/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/82, 384/62, 475/710 quickly i.e. 8116800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/82, 384/62, 475/710 is 8116800.

LCM(178/82, 384/62, 475/710) = 8116800

LCM of 178/82, 384/62, 475/710

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 178/82,384/62,475/710

Given numbers are 178/82,384/62,475/710

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 178,384,475

Least Common Multiple of Numerators i.e. LCM of 178,384,475 is 16233600.

GCF of Denominators means GCF of 82,62,710 as per the given fractions.

GCF of 82,62,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,384,475

LCM of Fractions 178/82,384/62,475/710 is 8116800

2 178, 384, 475
89, 192, 475

∴ So the LCM of the given numbers is 2 x 89 x 192 x 475 = 16233600

Least Common Multiple of 178,384,475 with GCF Formula

Least Common Multiple of 178,384,475 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 178,384,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,384,475) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(178,384,475) x common factors =1 x 2 = 2

LCM(178,384,475) = ( 178 × 384 × 475 ) / 2

LCM(178,384,475) = 32467200 / 2

LCM(178,384,475) = 16233600


Lets's calculate GCF of 82,62,710

2 82, 62, 710
41, 31, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16233600/2

Therefore the LCM of Fractions 178/82,384/62,475/710 is 8116800

Greatest Common Factor of 82,62,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,62,710 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 82,62,710 . The biggest common factor number is the GCF number.
So the greatest common factor 82,62,710 is 2.


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 178/82, 384/62, 475/710

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 178/82, 384/62, 475/710?

Answer: LCM of Numerators as per given numbers 178/82, 384/62, 475/710 is

LCM of Numerators i.e. for 178,384,475 is 16233600

GCF of denominators i.e. for 82,62,710 is 2.

Thus, LCM of Fractions is 8116800.Finally, LCM of Fractions for 178/82, 384/62, 475/710 is 8116800.