Least Common Multiple of 512/85, 421/4736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/85, 421/4736 quickly i.e. 215552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/85, 421/4736 is 215552.

LCM(512/85, 421/4736) = 215552

LCM of 512/85, 421/4736

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 512/85,421/4736

Given numbers are 512/85,421/4736

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 512,421

Least Common Multiple of Numerators i.e. LCM of 512,421 is 215552.

GCF of Denominators means GCF of 85,4736 as per the given fractions.

GCF of 85,4736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,421

LCM of Fractions 512/85,421/4736 is 215552

Given numbers has no common factors except 1. So, there LCM is their product i.e 215552

Least Common Multiple of 512,421 with GCF Formula

Least Common Multiple of 512,421 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 512,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,421) = 1

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

GCF(512,421) x common factors =1 x 1 = 1

LCM(512,421) = ( 512 × 421 ) / 1

LCM(512,421) = 215552 / 1

LCM(512,421) = 215552


Lets's calculate GCF of 85,4736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215552/1

Therefore the LCM of Fractions 512/85,421/4736 is 215552

Greatest Common Factor of 85,4736 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,4736 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Greatest Common Factor

We found the factors 85,4736 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4736 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 512/85, 421/4736

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 512/85, 421/4736?

Answer: LCM of Numerators as per given numbers 512/85, 421/4736 is

LCM of Numerators i.e. for 512,421 is 215552

GCF of denominators i.e. for 85,4736 is 1.

Thus, LCM of Fractions is 215552.Finally, LCM of Fractions for 512/85, 421/4736 is 215552.