Least Common Multiple of 1144/714, 6343/4179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1144/714, 6343/4179 quickly i.e. 7256392/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1144/714, 6343/4179 is 7256392/21.

LCM(1144/714, 6343/4179) = 7256392/21

LCM of 1144/714, 6343/4179

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 1144/714,6343/4179

Given numbers are 1144/714,6343/4179

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 1144,6343

Least Common Multiple of Numerators i.e. LCM of 1144,6343 is 7256392.

GCF of Denominators means GCF of 714,4179 as per the given fractions.

GCF of 714,4179 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1144,6343

LCM of Fractions 1144/714,6343/4179 is 7256392/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 7256392

Least Common Multiple of 1144,6343 with GCF Formula

Least Common Multiple of 1144,6343 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 1144,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1144,6343) = 1

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

GCF(1144,6343) x common factors =1 x 1 = 1

LCM(1144,6343) = ( 1144 × 6343 ) / 1

LCM(1144,6343) = 7256392 / 1

LCM(1144,6343) = 7256392


Lets's calculate GCF of 714,4179

3 714, 4179
7 238, 1393
34, 199

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7256392/21

Therefore the LCM of Fractions 1144/714,6343/4179 is 7256392/21

Greatest Common Factor of 714,4179 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,4179 By Matching Biggest Common Factor Method

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

Factors of 4179

List of positive integer factors of 4179 that divides 4179 without a remainder.

1,3,7,21,199,597,1393,4179

Greatest Common Factor

We found the factors 714,4179 . The biggest common factor number is the GCF number.
So the greatest common factor 714,4179 is 21.


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 1144/714, 6343/4179

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 1144/714, 6343/4179?

Answer: LCM of Numerators as per given numbers 1144/714, 6343/4179 is

LCM of Numerators i.e. for 1144,6343 is 7256392

GCF of denominators i.e. for 714,4179 is 21.

Thus, LCM of Fractions is 7256392/21.Finally, LCM of Fractions for 1144/714, 6343/4179 is 7256392/21.