Least Common Multiple of 8231/620, 1666/2284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8231/620, 1666/2284 quickly i.e. 13712846/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8231/620, 1666/2284 is 13712846/4.

LCM(8231/620, 1666/2284) = 13712846/4

LCM of 8231/620, 1666/2284

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 8231/620,1666/2284

Given numbers are 8231/620,1666/2284

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 8231,1666

Least Common Multiple of Numerators i.e. LCM of 8231,1666 is 13712846.

GCF of Denominators means GCF of 620,2284 as per the given fractions.

GCF of 620,2284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8231,1666

LCM of Fractions 8231/620,1666/2284 is 13712846/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 13712846

Least Common Multiple of 8231,1666 with GCF Formula

Least Common Multiple of 8231,1666 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 8231,1666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8231,1666) = 1

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

GCF(8231,1666) x common factors =1 x 1 = 1

LCM(8231,1666) = ( 8231 × 1666 ) / 1

LCM(8231,1666) = 13712846 / 1

LCM(8231,1666) = 13712846


Lets's calculate GCF of 620,2284

2 620, 2284
2 310, 1142
155, 571

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13712846/4

Therefore the LCM of Fractions 8231/620,1666/2284 is 13712846/4

Greatest Common Factor of 620,2284 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,2284 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 2284

List of positive integer factors of 2284 that divides 2284 without a remainder.

1,2,4,571,1142,2284

Greatest Common Factor

We found the factors 620,2284 . The biggest common factor number is the GCF number.
So the greatest common factor 620,2284 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8231/620, 1666/2284

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 8231/620, 1666/2284?

Answer: LCM of Numerators as per given numbers 8231/620, 1666/2284 is

LCM of Numerators i.e. for 8231,1666 is 13712846

GCF of denominators i.e. for 620,2284 is 4.

Thus, LCM of Fractions is 13712846/4.Finally, LCM of Fractions for 8231/620, 1666/2284 is 13712846/4.