Least Common Multiple of 432/322, 266/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/322, 266/628 quickly i.e. 28728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/322, 266/628 is 28728.

LCM(432/322, 266/628) = 28728

LCM of 432/322, 266/628

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 432/322,266/628

Given numbers are 432/322,266/628

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 432,266

Least Common Multiple of Numerators i.e. LCM of 432,266 is 57456.

GCF of Denominators means GCF of 322,628 as per the given fractions.

GCF of 322,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,266

LCM of Fractions 432/322,266/628 is 28728

2 432, 266
216, 133

∴ So the LCM of the given numbers is 2 x 216 x 133 = 57456

Least Common Multiple of 432,266 with GCF Formula

Least Common Multiple of 432,266 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 432,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,266) = 2

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

GCF(432,266) x common factors =2 x 1 = 2

LCM(432,266) = ( 432 × 266 ) / 2

LCM(432,266) = 114912 / 2

LCM(432,266) = 57456


Lets's calculate GCF of 322,628

2 322, 628
161, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57456/2

Therefore the LCM of Fractions 432/322,266/628 is 28728

Greatest Common Factor of 322,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,628 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 322,628 . The biggest common factor number is the GCF number.
So the greatest common factor 322,628 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 432/322, 266/628

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 432/322, 266/628?

Answer: LCM of Numerators as per given numbers 432/322, 266/628 is

LCM of Numerators i.e. for 432,266 is 57456

GCF of denominators i.e. for 322,628 is 2.

Thus, LCM of Fractions is 28728.Finally, LCM of Fractions for 432/322, 266/628 is 28728.