Least Common Multiple of 343/96, 966/6703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/96, 966/6703 quickly i.e. 47334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/96, 966/6703 is 47334.

LCM(343/96, 966/6703) = 47334

LCM of 343/96, 966/6703

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 343/96,966/6703

Given numbers are 343/96,966/6703

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 343,966

Least Common Multiple of Numerators i.e. LCM of 343,966 is 47334.

GCF of Denominators means GCF of 96,6703 as per the given fractions.

GCF of 96,6703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,966

LCM of Fractions 343/96,966/6703 is 47334

7 343, 966
49, 138

∴ So the LCM of the given numbers is 7 x 49 x 138 = 47334

Least Common Multiple of 343,966 with GCF Formula

Least Common Multiple of 343,966 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 343,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,966) = 7

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

GCF(343,966) x common factors =7 x 1 = 7

LCM(343,966) = ( 343 × 966 ) / 7

LCM(343,966) = 331338 / 7

LCM(343,966) = 47334


Lets's calculate GCF of 96,6703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47334/1

Therefore the LCM of Fractions 343/96,966/6703 is 47334

Greatest Common Factor of 96,6703 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6703 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1,6703

Greatest Common Factor

We found the factors 96,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6703 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 343/96, 966/6703

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 343/96, 966/6703?

Answer: LCM of Numerators as per given numbers 343/96, 966/6703 is

LCM of Numerators i.e. for 343,966 is 47334

GCF of denominators i.e. for 96,6703 is 1.

Thus, LCM of Fractions is 47334.Finally, LCM of Fractions for 343/96, 966/6703 is 47334.