Least Common Multiple of 320/432, 8057/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/432, 8057/728 quickly i.e. 322280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/432, 8057/728 is 322280.

LCM(320/432, 8057/728) = 322280

LCM of 320/432, 8057/728

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 320/432,8057/728

Given numbers are 320/432,8057/728

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 320,8057

Least Common Multiple of Numerators i.e. LCM of 320,8057 is 2578240.

GCF of Denominators means GCF of 432,728 as per the given fractions.

GCF of 432,728 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,8057

LCM of Fractions 320/432,8057/728 is 322280

Given numbers has no common factors except 1. So, there LCM is their product i.e 2578240

Least Common Multiple of 320,8057 with GCF Formula

Least Common Multiple of 320,8057 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 320,8057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,8057) = 1

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

GCF(320,8057) x common factors =1 x 1 = 1

LCM(320,8057) = ( 320 × 8057 ) / 1

LCM(320,8057) = 2578240 / 1

LCM(320,8057) = 2578240


Lets's calculate GCF of 432,728

2 432, 728
2 216, 364
2 108, 182
54, 91

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2578240/8

Therefore the LCM of Fractions 320/432,8057/728 is 322280

Greatest Common Factor of 432,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,728 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 432,728 . The biggest common factor number is the GCF number.
So the greatest common factor 432,728 is 8.


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 320/432, 8057/728

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 320/432, 8057/728?

Answer: LCM of Numerators as per given numbers 320/432, 8057/728 is

LCM of Numerators i.e. for 320,8057 is 2578240

GCF of denominators i.e. for 432,728 is 8.

Thus, LCM of Fractions is 322280.Finally, LCM of Fractions for 320/432, 8057/728 is 322280.