Least Common Multiple of 7306/808, 5544/8426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7306/808, 5544/8426 quickly i.e. 10126116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7306/808, 5544/8426 is 10126116.

LCM(7306/808, 5544/8426) = 10126116

LCM of 7306/808, 5544/8426

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 7306/808,5544/8426

Given numbers are 7306/808,5544/8426

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 7306,5544

Least Common Multiple of Numerators i.e. LCM of 7306,5544 is 20252232.

GCF of Denominators means GCF of 808,8426 as per the given fractions.

GCF of 808,8426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7306,5544

LCM of Fractions 7306/808,5544/8426 is 10126116

2 7306, 5544
3653, 2772

∴ So the LCM of the given numbers is 2 x 3653 x 2772 = 20252232

Least Common Multiple of 7306,5544 with GCF Formula

Least Common Multiple of 7306,5544 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 7306,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7306,5544) = 2

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

GCF(7306,5544) x common factors =2 x 1 = 2

LCM(7306,5544) = ( 7306 × 5544 ) / 2

LCM(7306,5544) = 40504464 / 2

LCM(7306,5544) = 20252232


Lets's calculate GCF of 808,8426

2 808, 8426
404, 4213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20252232/2

Therefore the LCM of Fractions 7306/808,5544/8426 is 10126116

Greatest Common Factor of 808,8426 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,8426 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1,2,11,22,383,766,4213,8426

Greatest Common Factor

We found the factors 808,8426 . The biggest common factor number is the GCF number.
So the greatest common factor 808,8426 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7306/808, 5544/8426

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 7306/808, 5544/8426?

Answer: LCM of Numerators as per given numbers 7306/808, 5544/8426 is

LCM of Numerators i.e. for 7306,5544 is 20252232

GCF of denominators i.e. for 808,8426 is 2.

Thus, LCM of Fractions is 10126116.Finally, LCM of Fractions for 7306/808, 5544/8426 is 10126116.