Least Common Multiple of 2066/65, 8829/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2066/65, 8829/704 quickly i.e. 18240714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2066/65, 8829/704 is 18240714.

LCM(2066/65, 8829/704) = 18240714

LCM of 2066/65, 8829/704

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 2066/65,8829/704

Given numbers are 2066/65,8829/704

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 2066,8829

Least Common Multiple of Numerators i.e. LCM of 2066,8829 is 18240714.

GCF of Denominators means GCF of 65,704 as per the given fractions.

GCF of 65,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2066,8829

LCM of Fractions 2066/65,8829/704 is 18240714

Given numbers has no common factors except 1. So, there LCM is their product i.e 18240714

Least Common Multiple of 2066,8829 with GCF Formula

Least Common Multiple of 2066,8829 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 2066,8829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2066,8829) = 1

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

GCF(2066,8829) x common factors =1 x 1 = 1

LCM(2066,8829) = ( 2066 × 8829 ) / 1

LCM(2066,8829) = 18240714 / 1

LCM(2066,8829) = 18240714


Lets's calculate GCF of 65,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18240714/1

Therefore the LCM of Fractions 2066/65,8829/704 is 18240714

Greatest Common Factor of 65,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,704 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 65,704 . The biggest common factor number is the GCF number.
So the greatest common factor 65,704 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2066/65, 8829/704

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 2066/65, 8829/704?

Answer: LCM of Numerators as per given numbers 2066/65, 8829/704 is

LCM of Numerators i.e. for 2066,8829 is 18240714

GCF of denominators i.e. for 65,704 is 1.

Thus, LCM of Fractions is 18240714.Finally, LCM of Fractions for 2066/65, 8829/704 is 18240714.