Least Common Multiple of 16/335, 85/455, 200/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/335, 85/455, 200/507 quickly i.e. 6800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/335, 85/455, 200/507 is 6800.

LCM(16/335, 85/455, 200/507) = 6800

LCM of 16/335, 85/455, 200/507

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 16/335,85/455,200/507

Given numbers are 16/335,85/455,200/507

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 16,85,200

Least Common Multiple of Numerators i.e. LCM of 16,85,200 is 6800.

GCF of Denominators means GCF of 335,455,507 as per the given fractions.

GCF of 335,455,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,85,200

LCM of Fractions 16/335,85/455,200/507 is 6800

2 16, 85, 200
2 8, 85, 100
2 4, 85, 50
5 2, 85, 25
2, 17, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 17 x 5 = 6800

Least Common Multiple of 16,85,200 with GCF Formula

Least Common Multiple of 16,85,200 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 16,85,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,85,200) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(16,85,200) x common factors =1 x 40 = 40

LCM(16,85,200) = ( 16 × 85 × 200 ) / 40

LCM(16,85,200) = 272000 / 40

LCM(16,85,200) = 6800


Lets's calculate GCF of 335,455,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6800/1

Therefore the LCM of Fractions 16/335,85/455,200/507 is 6800

Greatest Common Factor of 335,455,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,455,507 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 335,455,507 . The biggest common factor number is the GCF number.
So the greatest common factor 335,455,507 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 16/335, 85/455, 200/507

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 16/335, 85/455, 200/507?

Answer: LCM of Numerators as per given numbers 16/335, 85/455, 200/507 is

LCM of Numerators i.e. for 16,85,200 is 6800

GCF of denominators i.e. for 335,455,507 is 1.

Thus, LCM of Fractions is 6800.Finally, LCM of Fractions for 16/335, 85/455, 200/507 is 6800.