Least Common Multiple of 6726/698, 8414/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6726/698, 8414/426 quickly i.e. 14148141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6726/698, 8414/426 is 14148141.

LCM(6726/698, 8414/426) = 14148141

LCM of 6726/698, 8414/426

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 6726/698,8414/426

Given numbers are 6726/698,8414/426

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 6726,8414

Least Common Multiple of Numerators i.e. LCM of 6726,8414 is 28296282.

GCF of Denominators means GCF of 698,426 as per the given fractions.

GCF of 698,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6726,8414

LCM of Fractions 6726/698,8414/426 is 14148141

2 6726, 8414
3363, 4207

∴ So the LCM of the given numbers is 2 x 3363 x 4207 = 28296282

Least Common Multiple of 6726,8414 with GCF Formula

Least Common Multiple of 6726,8414 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 6726,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6726,8414) = 2

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

GCF(6726,8414) x common factors =2 x 1 = 2

LCM(6726,8414) = ( 6726 × 8414 ) / 2

LCM(6726,8414) = 56592564 / 2

LCM(6726,8414) = 28296282


Lets's calculate GCF of 698,426

2 698, 426
349, 213

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28296282/2

Therefore the LCM of Fractions 6726/698,8414/426 is 14148141

Greatest Common Factor of 698,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,426 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 698,426 . The biggest common factor number is the GCF number.
So the greatest common factor 698,426 is 2.


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 6726/698, 8414/426

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 6726/698, 8414/426?

Answer: LCM of Numerators as per given numbers 6726/698, 8414/426 is

LCM of Numerators i.e. for 6726,8414 is 28296282

GCF of denominators i.e. for 698,426 is 2.

Thus, LCM of Fractions is 14148141.Finally, LCM of Fractions for 6726/698, 8414/426 is 14148141.