Least Common Multiple of 8669/29, 2270/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8669/29, 2270/696 quickly i.e. 19678630/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8669/29, 2270/696 is 19678630/29.

LCM(8669/29, 2270/696) = 19678630/29

LCM of 8669/29, 2270/696

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 8669/29,2270/696

Given numbers are 8669/29,2270/696

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 8669,2270

Least Common Multiple of Numerators i.e. LCM of 8669,2270 is 19678630.

GCF of Denominators means GCF of 29,696 as per the given fractions.

GCF of 29,696 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8669,2270

LCM of Fractions 8669/29,2270/696 is 19678630/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 19678630

Least Common Multiple of 8669,2270 with GCF Formula

Least Common Multiple of 8669,2270 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 8669,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8669,2270) = 1

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

GCF(8669,2270) x common factors =1 x 1 = 1

LCM(8669,2270) = ( 8669 × 2270 ) / 1

LCM(8669,2270) = 19678630 / 1

LCM(8669,2270) = 19678630


Lets's calculate GCF of 29,696

29 29, 696
1, 24

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19678630/29

Therefore the LCM of Fractions 8669/29,2270/696 is 19678630/29

Greatest Common Factor of 29,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,696 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 29,696 . The biggest common factor number is the GCF number.
So the greatest common factor 29,696 is 29.


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 8669/29, 2270/696

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 8669/29, 2270/696?

Answer: LCM of Numerators as per given numbers 8669/29, 2270/696 is

LCM of Numerators i.e. for 8669,2270 is 19678630

GCF of denominators i.e. for 29,696 is 29.

Thus, LCM of Fractions is 19678630/29.Finally, LCM of Fractions for 8669/29, 2270/696 is 19678630/29.