Least Common Multiple of 284/845, 225/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/845, 225/170 quickly i.e. 12780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/845, 225/170 is 12780.

LCM(284/845, 225/170) = 12780

LCM of 284/845, 225/170

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 284/845,225/170

Given numbers are 284/845,225/170

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 284,225

Least Common Multiple of Numerators i.e. LCM of 284,225 is 63900.

GCF of Denominators means GCF of 845,170 as per the given fractions.

GCF of 845,170 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,225

LCM of Fractions 284/845,225/170 is 12780

Given numbers has no common factors except 1. So, there LCM is their product i.e 63900

Least Common Multiple of 284,225 with GCF Formula

Least Common Multiple of 284,225 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 284,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,225) = 1

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

GCF(284,225) x common factors =1 x 1 = 1

LCM(284,225) = ( 284 × 225 ) / 1

LCM(284,225) = 63900 / 1

LCM(284,225) = 63900


Lets's calculate GCF of 845,170

5 845, 170
169, 34

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63900/5

Therefore the LCM of Fractions 284/845,225/170 is 12780

Greatest Common Factor of 845,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,170 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 845,170 . The biggest common factor number is the GCF number.
So the greatest common factor 845,170 is 5.


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 284/845, 225/170

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 284/845, 225/170?

Answer: LCM of Numerators as per given numbers 284/845, 225/170 is

LCM of Numerators i.e. for 284,225 is 63900

GCF of denominators i.e. for 845,170 is 5.

Thus, LCM of Fractions is 12780.Finally, LCM of Fractions for 284/845, 225/170 is 12780.