Least Common Multiple of 894/506, 1227/4171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 894/506, 1227/4171 quickly i.e. 365646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/506, 1227/4171 is 365646.

LCM(894/506, 1227/4171) = 365646

LCM of 894/506, 1227/4171

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 894/506,1227/4171

Given numbers are 894/506,1227/4171

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 894,1227

Least Common Multiple of Numerators i.e. LCM of 894,1227 is 365646.

GCF of Denominators means GCF of 506,4171 as per the given fractions.

GCF of 506,4171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,1227

LCM of Fractions 894/506,1227/4171 is 365646

3 894, 1227
298, 409

∴ So the LCM of the given numbers is 3 x 298 x 409 = 365646

Least Common Multiple of 894,1227 with GCF Formula

Least Common Multiple of 894,1227 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 894,1227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,1227) = 3

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

GCF(894,1227) x common factors =3 x 1 = 3

LCM(894,1227) = ( 894 × 1227 ) / 3

LCM(894,1227) = 1096938 / 3

LCM(894,1227) = 365646


Lets's calculate GCF of 506,4171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365646/1

Therefore the LCM of Fractions 894/506,1227/4171 is 365646

Greatest Common Factor of 506,4171 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,4171 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 4171

List of positive integer factors of 4171 that divides 4171 without a remainder.

1,43,97,4171

Greatest Common Factor

We found the factors 506,4171 . The biggest common factor number is the GCF number.
So the greatest common factor 506,4171 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 894/506, 1227/4171

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 894/506, 1227/4171?

Answer: LCM of Numerators as per given numbers 894/506, 1227/4171 is

LCM of Numerators i.e. for 894,1227 is 365646

GCF of denominators i.e. for 506,4171 is 1.

Thus, LCM of Fractions is 365646.Finally, LCM of Fractions for 894/506, 1227/4171 is 365646.