Least Common Multiple of 210/338, 3620/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/338, 3620/512 quickly i.e. 38010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/338, 3620/512 is 38010.

LCM(210/338, 3620/512) = 38010

LCM of 210/338, 3620/512

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 210/338,3620/512

Given numbers are 210/338,3620/512

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 210,3620

Least Common Multiple of Numerators i.e. LCM of 210,3620 is 76020.

GCF of Denominators means GCF of 338,512 as per the given fractions.

GCF of 338,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,3620

LCM of Fractions 210/338,3620/512 is 38010

2 210, 3620
5 105, 1810
21, 362

∴ So the LCM of the given numbers is 2 x 5 x 21 x 362 = 76020

Least Common Multiple of 210,3620 with GCF Formula

Least Common Multiple of 210,3620 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 210,3620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,3620) = 10

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

GCF(210,3620) x common factors =10 x 1 = 10

LCM(210,3620) = ( 210 × 3620 ) / 10

LCM(210,3620) = 760200 / 10

LCM(210,3620) = 76020


Lets's calculate GCF of 338,512

2 338, 512
169, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76020/2

Therefore the LCM of Fractions 210/338,3620/512 is 38010

Greatest Common Factor of 338,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,512 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 338,512 . The biggest common factor number is the GCF number.
So the greatest common factor 338,512 is 2.


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 210/338, 3620/512

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 210/338, 3620/512?

Answer: LCM of Numerators as per given numbers 210/338, 3620/512 is

LCM of Numerators i.e. for 210,3620 is 76020

GCF of denominators i.e. for 338,512 is 2.

Thus, LCM of Fractions is 38010.Finally, LCM of Fractions for 210/338, 3620/512 is 38010.