Least Common Multiple of 229/562, 477/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 229/562, 477/587 quickly i.e. 109233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/562, 477/587 is 109233.

LCM(229/562, 477/587) = 109233

LCM of 229/562, 477/587

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 229/562,477/587

Given numbers are 229/562,477/587

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 229,477

Least Common Multiple of Numerators i.e. LCM of 229,477 is 109233.

GCF of Denominators means GCF of 562,587 as per the given fractions.

GCF of 562,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,477

LCM of Fractions 229/562,477/587 is 109233

Given numbers has no common factors except 1. So, there LCM is their product i.e 109233

Least Common Multiple of 229,477 with GCF Formula

Least Common Multiple of 229,477 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 229,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,477) = 1

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

GCF(229,477) x common factors =1 x 1 = 1

LCM(229,477) = ( 229 × 477 ) / 1

LCM(229,477) = 109233 / 1

LCM(229,477) = 109233


Lets's calculate GCF of 562,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109233/1

Therefore the LCM of Fractions 229/562,477/587 is 109233

Greatest Common Factor of 562,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,587 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 562,587 . The biggest common factor number is the GCF number.
So the greatest common factor 562,587 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 229/562, 477/587

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 229/562, 477/587?

Answer: LCM of Numerators as per given numbers 229/562, 477/587 is

LCM of Numerators i.e. for 229,477 is 109233

GCF of denominators i.e. for 562,587 is 1.

Thus, LCM of Fractions is 109233.Finally, LCM of Fractions for 229/562, 477/587 is 109233.