Least Common Multiple of 32/16, 499/62, 410/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/16, 499/62, 410/338 quickly i.e. 1636720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/16, 499/62, 410/338 is 1636720.

LCM(32/16, 499/62, 410/338) = 1636720

LCM of 32/16, 499/62, 410/338

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 32/16,499/62,410/338

Given numbers are 32/16,499/62,410/338

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 32,499,410

Least Common Multiple of Numerators i.e. LCM of 32,499,410 is 3273440.

GCF of Denominators means GCF of 16,62,338 as per the given fractions.

GCF of 16,62,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,499,410

LCM of Fractions 32/16,499/62,410/338 is 1636720

2 32, 499, 410
16, 499, 205

∴ So the LCM of the given numbers is 2 x 16 x 499 x 205 = 3273440

Least Common Multiple of 32,499,410 with GCF Formula

Least Common Multiple of 32,499,410 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 32,499,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,499,410) = 1

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

GCF(32,499,410) x common factors =1 x 2 = 2

LCM(32,499,410) = ( 32 × 499 × 410 ) / 2

LCM(32,499,410) = 6546880 / 2

LCM(32,499,410) = 3273440


Lets's calculate GCF of 16,62,338

2 16, 62, 338
8, 31, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3273440/2

Therefore the LCM of Fractions 32/16,499/62,410/338 is 1636720

Greatest Common Factor of 16,62,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,62,338 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 338

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

1,2,13,26,169,338

Greatest Common Factor

We found the factors 16,62,338 . The biggest common factor number is the GCF number.
So the greatest common factor 16,62,338 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 32/16, 499/62, 410/338

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 32/16, 499/62, 410/338?

Answer: LCM of Numerators as per given numbers 32/16, 499/62, 410/338 is

LCM of Numerators i.e. for 32,499,410 is 3273440

GCF of denominators i.e. for 16,62,338 is 2.

Thus, LCM of Fractions is 1636720.Finally, LCM of Fractions for 32/16, 499/62, 410/338 is 1636720.