Least Common Multiple of 1056/714, 1741/1343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1056/714, 1741/1343 quickly i.e. 1838496/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1056/714, 1741/1343 is 1838496/17.

LCM(1056/714, 1741/1343) = 1838496/17

LCM of 1056/714, 1741/1343

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 1056/714,1741/1343

Given numbers are 1056/714,1741/1343

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 1056,1741

Least Common Multiple of Numerators i.e. LCM of 1056,1741 is 1838496.

GCF of Denominators means GCF of 714,1343 as per the given fractions.

GCF of 714,1343 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1056,1741

LCM of Fractions 1056/714,1741/1343 is 1838496/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 1838496

Least Common Multiple of 1056,1741 with GCF Formula

Least Common Multiple of 1056,1741 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 1056,1741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1056,1741) = 1

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

GCF(1056,1741) x common factors =1 x 1 = 1

LCM(1056,1741) = ( 1056 × 1741 ) / 1

LCM(1056,1741) = 1838496 / 1

LCM(1056,1741) = 1838496


Lets's calculate GCF of 714,1343

17 714, 1343
42, 79

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1838496/17

Therefore the LCM of Fractions 1056/714,1741/1343 is 1838496/17

Greatest Common Factor of 714,1343 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,1343 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 1343

List of positive integer factors of 1343 that divides 1343 without a remainder.

1,17,79,1343

Greatest Common Factor

We found the factors 714,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 714,1343 is 17.


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 1056/714, 1741/1343

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 1056/714, 1741/1343?

Answer: LCM of Numerators as per given numbers 1056/714, 1741/1343 is

LCM of Numerators i.e. for 1056,1741 is 1838496

GCF of denominators i.e. for 714,1343 is 17.

Thus, LCM of Fractions is 1838496/17.Finally, LCM of Fractions for 1056/714, 1741/1343 is 1838496/17.