Least Common Multiple of 29/770, 2352/2304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/770, 2352/2304 quickly i.e. 34104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/770, 2352/2304 is 34104.

LCM(29/770, 2352/2304) = 34104

LCM of 29/770, 2352/2304

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 29/770,2352/2304

Given numbers are 29/770,2352/2304

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 29,2352

Least Common Multiple of Numerators i.e. LCM of 29,2352 is 68208.

GCF of Denominators means GCF of 770,2304 as per the given fractions.

GCF of 770,2304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,2352

LCM of Fractions 29/770,2352/2304 is 34104

Given numbers has no common factors except 1. So, there LCM is their product i.e 68208

Least Common Multiple of 29,2352 with GCF Formula

Least Common Multiple of 29,2352 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 29,2352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,2352) = 1

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

GCF(29,2352) x common factors =1 x 1 = 1

LCM(29,2352) = ( 29 × 2352 ) / 1

LCM(29,2352) = 68208 / 1

LCM(29,2352) = 68208


Lets's calculate GCF of 770,2304

2 770, 2304
385, 1152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68208/2

Therefore the LCM of Fractions 29/770,2352/2304 is 34104

Greatest Common Factor of 770,2304 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,2304 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Greatest Common Factor

We found the factors 770,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 770,2304 is 2.


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 29/770, 2352/2304

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 29/770, 2352/2304?

Answer: LCM of Numerators as per given numbers 29/770, 2352/2304 is

LCM of Numerators i.e. for 29,2352 is 68208

GCF of denominators i.e. for 770,2304 is 2.

Thus, LCM of Fractions is 34104.Finally, LCM of Fractions for 29/770, 2352/2304 is 34104.