Least Common Multiple of 61/384, 12/433, 577/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/384, 12/433, 577/468 quickly i.e. 422364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/384, 12/433, 577/468 is 422364.

LCM(61/384, 12/433, 577/468) = 422364

LCM of 61/384, 12/433, 577/468

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 61/384,12/433,577/468

Given numbers are 61/384,12/433,577/468

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 61,12,577

Least Common Multiple of Numerators i.e. LCM of 61,12,577 is 422364.

GCF of Denominators means GCF of 384,433,468 as per the given fractions.

GCF of 384,433,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,12,577

LCM of Fractions 61/384,12/433,577/468 is 422364

Given numbers has no common factors except 1. So, there LCM is their product i.e 422364

Least Common Multiple of 61,12,577 with GCF Formula

Least Common Multiple of 61,12,577 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 61,12,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,12,577) = 1

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

GCF(61,12,577) x common factors =1 x 1 = 1

LCM(61,12,577) = ( 61 × 12 × 577 ) / 1

LCM(61,12,577) = 422364 / 1

LCM(61,12,577) = 422364


Lets's calculate GCF of 384,433,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422364/1

Therefore the LCM of Fractions 61/384,12/433,577/468 is 422364

Greatest Common Factor of 384,433,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,433,468 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 384,433,468 . The biggest common factor number is the GCF number.
So the greatest common factor 384,433,468 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 61/384, 12/433, 577/468

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 61/384, 12/433, 577/468?

Answer: LCM of Numerators as per given numbers 61/384, 12/433, 577/468 is

LCM of Numerators i.e. for 61,12,577 is 422364

GCF of denominators i.e. for 384,433,468 is 1.

Thus, LCM of Fractions is 422364.Finally, LCM of Fractions for 61/384, 12/433, 577/468 is 422364.