Least Common Multiple of 322/704, 405/910, 321/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/704, 405/910, 321/188 quickly i.e. 6976935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/704, 405/910, 321/188 is 6976935.

LCM(322/704, 405/910, 321/188) = 6976935

LCM of 322/704, 405/910, 321/188

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 322/704,405/910,321/188

Given numbers are 322/704,405/910,321/188

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 322,405,321

Least Common Multiple of Numerators i.e. LCM of 322,405,321 is 13953870.

GCF of Denominators means GCF of 704,910,188 as per the given fractions.

GCF of 704,910,188 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,405,321

LCM of Fractions 322/704,405/910,321/188 is 6976935

3 322, 405, 321
322, 135, 107

∴ So the LCM of the given numbers is 3 x 322 x 135 x 107 = 13953870

Least Common Multiple of 322,405,321 with GCF Formula

Least Common Multiple of 322,405,321 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 322,405,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,405,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(322,405,321) x common factors =1 x 3 = 3

LCM(322,405,321) = ( 322 × 405 × 321 ) / 3

LCM(322,405,321) = 41861610 / 3

LCM(322,405,321) = 13953870


Lets's calculate GCF of 704,910,188

2 704, 910, 188
352, 455, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13953870/2

Therefore the LCM of Fractions 322/704,405/910,321/188 is 6976935

Greatest Common Factor of 704,910,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,910,188 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 704,910,188 . The biggest common factor number is the GCF number.
So the greatest common factor 704,910,188 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 322/704, 405/910, 321/188

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 322/704, 405/910, 321/188?

Answer: LCM of Numerators as per given numbers 322/704, 405/910, 321/188 is

LCM of Numerators i.e. for 322,405,321 is 13953870

GCF of denominators i.e. for 704,910,188 is 2.

Thus, LCM of Fractions is 6976935.Finally, LCM of Fractions for 322/704, 405/910, 321/188 is 6976935.