Least Common Multiple of 285/16, 178/2450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/16, 178/2450 quickly i.e. 25365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/16, 178/2450 is 25365.

LCM(285/16, 178/2450) = 25365

LCM of 285/16, 178/2450

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 285/16,178/2450

Given numbers are 285/16,178/2450

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 285,178

Least Common Multiple of Numerators i.e. LCM of 285,178 is 50730.

GCF of Denominators means GCF of 16,2450 as per the given fractions.

GCF of 16,2450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,178

LCM of Fractions 285/16,178/2450 is 25365

Given numbers has no common factors except 1. So, there LCM is their product i.e 50730

Least Common Multiple of 285,178 with GCF Formula

Least Common Multiple of 285,178 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 285,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,178) = 1

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

GCF(285,178) x common factors =1 x 1 = 1

LCM(285,178) = ( 285 × 178 ) / 1

LCM(285,178) = 50730 / 1

LCM(285,178) = 50730


Lets's calculate GCF of 16,2450

2 16, 2450
8, 1225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50730/2

Therefore the LCM of Fractions 285/16,178/2450 is 25365

Greatest Common Factor of 16,2450 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2450 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 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Greatest Common Factor

We found the factors 16,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2450 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 285/16, 178/2450

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 285/16, 178/2450?

Answer: LCM of Numerators as per given numbers 285/16, 178/2450 is

LCM of Numerators i.e. for 285,178 is 50730

GCF of denominators i.e. for 16,2450 is 2.

Thus, LCM of Fractions is 25365.Finally, LCM of Fractions for 285/16, 178/2450 is 25365.