Least Common Multiple of 29/723, 464/61, 200/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/723, 464/61, 200/686 quickly i.e. 11600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/723, 464/61, 200/686 is 11600.

LCM(29/723, 464/61, 200/686) = 11600

LCM of 29/723, 464/61, 200/686

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 29/723,464/61,200/686

Given numbers are 29/723,464/61,200/686

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 29,464,200

Least Common Multiple of Numerators i.e. LCM of 29,464,200 is 11600.

GCF of Denominators means GCF of 723,61,686 as per the given fractions.

GCF of 723,61,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,464,200

LCM of Fractions 29/723,464/61,200/686 is 11600

2 29, 464, 200
2 29, 232, 100
2 29, 116, 50
29 29, 58, 25
1, 2, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 1 x 2 x 25 = 11600

Least Common Multiple of 29,464,200 with GCF Formula

Least Common Multiple of 29,464,200 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 29,464,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,464,200) = 1

common factors(in case of two or more numbers have common factors) = 232

GCF(29,464,200) x common factors =1 x 232 = 232

LCM(29,464,200) = ( 29 × 464 × 200 ) / 232

LCM(29,464,200) = 2691200 / 232

LCM(29,464,200) = 11600


Lets's calculate GCF of 723,61,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11600/1

Therefore the LCM of Fractions 29/723,464/61,200/686 is 11600

Greatest Common Factor of 723,61,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,61,686 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 723,61,686 . The biggest common factor number is the GCF number.
So the greatest common factor 723,61,686 is 1.


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 29/723, 464/61, 200/686

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 29/723, 464/61, 200/686?

Answer: LCM of Numerators as per given numbers 29/723, 464/61, 200/686 is

LCM of Numerators i.e. for 29,464,200 is 11600

GCF of denominators i.e. for 723,61,686 is 1.

Thus, LCM of Fractions is 11600.Finally, LCM of Fractions for 29/723, 464/61, 200/686 is 11600.