Least Common Multiple of 284/814, 945/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/814, 945/382 quickly i.e. 134190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/814, 945/382 is 134190.

LCM(284/814, 945/382) = 134190

LCM of 284/814, 945/382

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 284/814,945/382

Given numbers are 284/814,945/382

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 284,945

Least Common Multiple of Numerators i.e. LCM of 284,945 is 268380.

GCF of Denominators means GCF of 814,382 as per the given fractions.

GCF of 814,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,945

LCM of Fractions 284/814,945/382 is 134190

Given numbers has no common factors except 1. So, there LCM is their product i.e 268380

Least Common Multiple of 284,945 with GCF Formula

Least Common Multiple of 284,945 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 284,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,945) = 1

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

GCF(284,945) x common factors =1 x 1 = 1

LCM(284,945) = ( 284 × 945 ) / 1

LCM(284,945) = 268380 / 1

LCM(284,945) = 268380


Lets's calculate GCF of 814,382

2 814, 382
407, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268380/2

Therefore the LCM of Fractions 284/814,945/382 is 134190

Greatest Common Factor of 814,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,382 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 814,382 . The biggest common factor number is the GCF number.
So the greatest common factor 814,382 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 284/814, 945/382

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 284/814, 945/382?

Answer: LCM of Numerators as per given numbers 284/814, 945/382 is

LCM of Numerators i.e. for 284,945 is 268380

GCF of denominators i.e. for 814,382 is 2.

Thus, LCM of Fractions is 134190.Finally, LCM of Fractions for 284/814, 945/382 is 134190.