Least Common Multiple of 343/668, 333/659, 814/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/668, 333/659, 814/991 quickly i.e. 2512818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/668, 333/659, 814/991 is 2512818.

LCM(343/668, 333/659, 814/991) = 2512818

LCM of 343/668, 333/659, 814/991

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 343/668,333/659,814/991

Given numbers are 343/668,333/659,814/991

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 343,333,814

Least Common Multiple of Numerators i.e. LCM of 343,333,814 is 2512818.

GCF of Denominators means GCF of 668,659,991 as per the given fractions.

GCF of 668,659,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,333,814

LCM of Fractions 343/668,333/659,814/991 is 2512818

37 343, 333, 814
343, 9, 22

∴ So the LCM of the given numbers is 37 x 343 x 9 x 22 = 2512818

Least Common Multiple of 343,333,814 with GCF Formula

Least Common Multiple of 343,333,814 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 343,333,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,333,814) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(343,333,814) x common factors =1 x 37 = 37

LCM(343,333,814) = ( 343 × 333 × 814 ) / 37

LCM(343,333,814) = 92974266 / 37

LCM(343,333,814) = 2512818


Lets's calculate GCF of 668,659,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2512818/1

Therefore the LCM of Fractions 343/668,333/659,814/991 is 2512818

Greatest Common Factor of 668,659,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,659,991 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 668,659,991 . The biggest common factor number is the GCF number.
So the greatest common factor 668,659,991 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 343/668, 333/659, 814/991

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 343/668, 333/659, 814/991?

Answer: LCM of Numerators as per given numbers 343/668, 333/659, 814/991 is

LCM of Numerators i.e. for 343,333,814 is 2512818

GCF of denominators i.e. for 668,659,991 is 1.

Thus, LCM of Fractions is 2512818.Finally, LCM of Fractions for 343/668, 333/659, 814/991 is 2512818.