Least Common Multiple of 2117/686, 6944/1789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2117/686, 6944/1789 quickly i.e. 14700448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2117/686, 6944/1789 is 14700448.

LCM(2117/686, 6944/1789) = 14700448

LCM of 2117/686, 6944/1789

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 2117/686,6944/1789

Given numbers are 2117/686,6944/1789

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 2117,6944

Least Common Multiple of Numerators i.e. LCM of 2117,6944 is 14700448.

GCF of Denominators means GCF of 686,1789 as per the given fractions.

GCF of 686,1789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2117,6944

LCM of Fractions 2117/686,6944/1789 is 14700448

Given numbers has no common factors except 1. So, there LCM is their product i.e 14700448

Least Common Multiple of 2117,6944 with GCF Formula

Least Common Multiple of 2117,6944 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 2117,6944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2117,6944) = 1

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

GCF(2117,6944) x common factors =1 x 1 = 1

LCM(2117,6944) = ( 2117 × 6944 ) / 1

LCM(2117,6944) = 14700448 / 1

LCM(2117,6944) = 14700448


Lets's calculate GCF of 686,1789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14700448/1

Therefore the LCM of Fractions 2117/686,6944/1789 is 14700448

Greatest Common Factor of 686,1789 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,1789 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 1789

List of positive integer factors of 1789 that divides 1789 without a remainder.

1,1789

Greatest Common Factor

We found the factors 686,1789 . The biggest common factor number is the GCF number.
So the greatest common factor 686,1789 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 2117/686, 6944/1789

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 2117/686, 6944/1789?

Answer: LCM of Numerators as per given numbers 2117/686, 6944/1789 is

LCM of Numerators i.e. for 2117,6944 is 14700448

GCF of denominators i.e. for 686,1789 is 1.

Thus, LCM of Fractions is 14700448.Finally, LCM of Fractions for 2117/686, 6944/1789 is 14700448.