Least Common Multiple of 64/205, 46/298, 434/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/205, 46/298, 434/477 quickly i.e. 319424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/205, 46/298, 434/477 is 319424.

LCM(64/205, 46/298, 434/477) = 319424

LCM of 64/205, 46/298, 434/477

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 64/205,46/298,434/477

Given numbers are 64/205,46/298,434/477

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 64,46,434

Least Common Multiple of Numerators i.e. LCM of 64,46,434 is 319424.

GCF of Denominators means GCF of 205,298,477 as per the given fractions.

GCF of 205,298,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,46,434

LCM of Fractions 64/205,46/298,434/477 is 319424

2 64, 46, 434
32, 23, 217

∴ So the LCM of the given numbers is 2 x 32 x 23 x 217 = 319424

Least Common Multiple of 64,46,434 with GCF Formula

Least Common Multiple of 64,46,434 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 64,46,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,46,434) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(64,46,434) x common factors =2 x 2 = 4

LCM(64,46,434) = ( 64 × 46 × 434 ) / 4

LCM(64,46,434) = 1277696 / 4

LCM(64,46,434) = 319424


Lets's calculate GCF of 205,298,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319424/1

Therefore the LCM of Fractions 64/205,46/298,434/477 is 319424

Greatest Common Factor of 205,298,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,298,477 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 205,298,477 . The biggest common factor number is the GCF number.
So the greatest common factor 205,298,477 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 64/205, 46/298, 434/477

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 64/205, 46/298, 434/477?

Answer: LCM of Numerators as per given numbers 64/205, 46/298, 434/477 is

LCM of Numerators i.e. for 64,46,434 is 319424

GCF of denominators i.e. for 205,298,477 is 1.

Thus, LCM of Fractions is 319424.Finally, LCM of Fractions for 64/205, 46/298, 434/477 is 319424.