Least Common Multiple of 397/432, 916/533, 732/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/432, 916/533, 732/348 quickly i.e. 66548316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/432, 916/533, 732/348 is 66548316.

LCM(397/432, 916/533, 732/348) = 66548316

LCM of 397/432, 916/533, 732/348

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 397/432,916/533,732/348

Given numbers are 397/432,916/533,732/348

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 397,916,732

Least Common Multiple of Numerators i.e. LCM of 397,916,732 is 66548316.

GCF of Denominators means GCF of 432,533,348 as per the given fractions.

GCF of 432,533,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,916,732

LCM of Fractions 397/432,916/533,732/348 is 66548316

2 397, 916, 732
2 397, 458, 366
397, 229, 183

∴ So the LCM of the given numbers is 2 x 2 x 397 x 229 x 183 = 66548316

Least Common Multiple of 397,916,732 with GCF Formula

Least Common Multiple of 397,916,732 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 397,916,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,916,732) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(397,916,732) x common factors =1 x 4 = 4

LCM(397,916,732) = ( 397 × 916 × 732 ) / 4

LCM(397,916,732) = 266193264 / 4

LCM(397,916,732) = 66548316


Lets's calculate GCF of 432,533,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66548316/1

Therefore the LCM of Fractions 397/432,916/533,732/348 is 66548316

Greatest Common Factor of 432,533,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,533,348 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 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 432,533,348 . The biggest common factor number is the GCF number.
So the greatest common factor 432,533,348 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 397/432, 916/533, 732/348

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 397/432, 916/533, 732/348?

Answer: LCM of Numerators as per given numbers 397/432, 916/533, 732/348 is

LCM of Numerators i.e. for 397,916,732 is 66548316

GCF of denominators i.e. for 432,533,348 is 1.

Thus, LCM of Fractions is 66548316.Finally, LCM of Fractions for 397/432, 916/533, 732/348 is 66548316.