Least Common Multiple of 723/686, 769/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/686, 769/714 quickly i.e. 555987/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/686, 769/714 is 555987/14.

LCM(723/686, 769/714) = 555987/14

LCM of 723/686, 769/714

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 723/686,769/714

Given numbers are 723/686,769/714

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 723,769

Least Common Multiple of Numerators i.e. LCM of 723,769 is 555987.

GCF of Denominators means GCF of 686,714 as per the given fractions.

GCF of 686,714 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,769

LCM of Fractions 723/686,769/714 is 555987/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 555987

Least Common Multiple of 723,769 with GCF Formula

Least Common Multiple of 723,769 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 723,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,769) = 1

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

GCF(723,769) x common factors =1 x 1 = 1

LCM(723,769) = ( 723 × 769 ) / 1

LCM(723,769) = 555987 / 1

LCM(723,769) = 555987


Lets's calculate GCF of 686,714

2 686, 714
7 343, 357
49, 51

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555987/14

Therefore the LCM of Fractions 723/686,769/714 is 555987/14

Greatest Common Factor of 686,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,714 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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 686,714 . The biggest common factor number is the GCF number.
So the greatest common factor 686,714 is 14.


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 723/686, 769/714

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 723/686, 769/714?

Answer: LCM of Numerators as per given numbers 723/686, 769/714 is

LCM of Numerators i.e. for 723,769 is 555987

GCF of denominators i.e. for 686,714 is 14.

Thus, LCM of Fractions is 555987/14.Finally, LCM of Fractions for 723/686, 769/714 is 555987/14.