Least Common Multiple of 32/448, 34/402, 793/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/448, 34/402, 793/321 quickly i.e. 431392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/448, 34/402, 793/321 is 431392.

LCM(32/448, 34/402, 793/321) = 431392

LCM of 32/448, 34/402, 793/321

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 32/448,34/402,793/321

Given numbers are 32/448,34/402,793/321

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 32,34,793

Least Common Multiple of Numerators i.e. LCM of 32,34,793 is 431392.

GCF of Denominators means GCF of 448,402,321 as per the given fractions.

GCF of 448,402,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,34,793

LCM of Fractions 32/448,34/402,793/321 is 431392

2 32, 34, 793
16, 17, 793

∴ So the LCM of the given numbers is 2 x 16 x 17 x 793 = 431392

Least Common Multiple of 32,34,793 with GCF Formula

Least Common Multiple of 32,34,793 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 32,34,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,34,793) = 1

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

GCF(32,34,793) x common factors =1 x 2 = 2

LCM(32,34,793) = ( 32 × 34 × 793 ) / 2

LCM(32,34,793) = 862784 / 2

LCM(32,34,793) = 431392


Lets's calculate GCF of 448,402,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431392/1

Therefore the LCM of Fractions 32/448,34/402,793/321 is 431392

Greatest Common Factor of 448,402,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,402,321 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 448,402,321 . The biggest common factor number is the GCF number.
So the greatest common factor 448,402,321 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 32/448, 34/402, 793/321

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 32/448, 34/402, 793/321?

Answer: LCM of Numerators as per given numbers 32/448, 34/402, 793/321 is

LCM of Numerators i.e. for 32,34,793 is 431392

GCF of denominators i.e. for 448,402,321 is 1.

Thus, LCM of Fractions is 431392.Finally, LCM of Fractions for 32/448, 34/402, 793/321 is 431392.