Least Common Multiple of 432/28, 597/3408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/28, 597/3408 quickly i.e. 21492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/28, 597/3408 is 21492.

LCM(432/28, 597/3408) = 21492

LCM of 432/28, 597/3408

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 432/28,597/3408

Given numbers are 432/28,597/3408

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 432,597

Least Common Multiple of Numerators i.e. LCM of 432,597 is 85968.

GCF of Denominators means GCF of 28,3408 as per the given fractions.

GCF of 28,3408 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,597

LCM of Fractions 432/28,597/3408 is 21492

3 432, 597
144, 199

∴ So the LCM of the given numbers is 3 x 144 x 199 = 85968

Least Common Multiple of 432,597 with GCF Formula

Least Common Multiple of 432,597 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 432,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,597) = 3

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

GCF(432,597) x common factors =3 x 1 = 3

LCM(432,597) = ( 432 × 597 ) / 3

LCM(432,597) = 257904 / 3

LCM(432,597) = 85968


Lets's calculate GCF of 28,3408

2 28, 3408
2 14, 1704
7, 852

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85968/4

Therefore the LCM of Fractions 432/28,597/3408 is 21492

Greatest Common Factor of 28,3408 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3408 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408

Greatest Common Factor

We found the factors 28,3408 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3408 is 4.


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 432/28, 597/3408

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 432/28, 597/3408?

Answer: LCM of Numerators as per given numbers 432/28, 597/3408 is

LCM of Numerators i.e. for 432,597 is 85968

GCF of denominators i.e. for 28,3408 is 4.

Thus, LCM of Fractions is 21492.Finally, LCM of Fractions for 432/28, 597/3408 is 21492.