Least Common Multiple of 29/686, 407/723, 316/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/686, 407/723, 316/768 quickly i.e. 3729748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/686, 407/723, 316/768 is 3729748.

LCM(29/686, 407/723, 316/768) = 3729748

LCM of 29/686, 407/723, 316/768

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 29/686,407/723,316/768

Given numbers are 29/686,407/723,316/768

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 29,407,316

Least Common Multiple of Numerators i.e. LCM of 29,407,316 is 3729748.

GCF of Denominators means GCF of 686,723,768 as per the given fractions.

GCF of 686,723,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,407,316

LCM of Fractions 29/686,407/723,316/768 is 3729748

Given numbers has no common factors except 1. So, there LCM is their product i.e 3729748

Least Common Multiple of 29,407,316 with GCF Formula

Least Common Multiple of 29,407,316 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 29,407,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,407,316) = 1

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

GCF(29,407,316) x common factors =1 x 1 = 1

LCM(29,407,316) = ( 29 × 407 × 316 ) / 1

LCM(29,407,316) = 3729748 / 1

LCM(29,407,316) = 3729748


Lets's calculate GCF of 686,723,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3729748/1

Therefore the LCM of Fractions 29/686,407/723,316/768 is 3729748

Greatest Common Factor of 686,723,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,723,768 By Matching Biggest Common Factor Method

Factors of 686

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

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

Factors of 723

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

1,3,241,723

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 686,723,768 . The biggest common factor number is the GCF number.
So the greatest common factor 686,723,768 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 29/686, 407/723, 316/768

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 29/686, 407/723, 316/768?

Answer: LCM of Numerators as per given numbers 29/686, 407/723, 316/768 is

LCM of Numerators i.e. for 29,407,316 is 3729748

GCF of denominators i.e. for 686,723,768 is 1.

Thus, LCM of Fractions is 3729748.Finally, LCM of Fractions for 29/686, 407/723, 316/768 is 3729748.