Least Common Multiple of 3394/708, 8424/9476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3394/708, 8424/9476 quickly i.e. 3573882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3394/708, 8424/9476 is 3573882.

LCM(3394/708, 8424/9476) = 3573882

LCM of 3394/708, 8424/9476

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 3394/708,8424/9476

Given numbers are 3394/708,8424/9476

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 3394,8424

Least Common Multiple of Numerators i.e. LCM of 3394,8424 is 14295528.

GCF of Denominators means GCF of 708,9476 as per the given fractions.

GCF of 708,9476 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3394,8424

LCM of Fractions 3394/708,8424/9476 is 3573882

2 3394, 8424
1697, 4212

∴ So the LCM of the given numbers is 2 x 1697 x 4212 = 14295528

Least Common Multiple of 3394,8424 with GCF Formula

Least Common Multiple of 3394,8424 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 3394,8424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3394,8424) = 2

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

GCF(3394,8424) x common factors =2 x 1 = 2

LCM(3394,8424) = ( 3394 × 8424 ) / 2

LCM(3394,8424) = 28591056 / 2

LCM(3394,8424) = 14295528


Lets's calculate GCF of 708,9476

2 708, 9476
2 354, 4738
177, 2369

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14295528/4

Therefore the LCM of Fractions 3394/708,8424/9476 is 3573882

Greatest Common Factor of 708,9476 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,9476 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1,2,4,23,46,92,103,206,412,2369,4738,9476

Greatest Common Factor

We found the factors 708,9476 . The biggest common factor number is the GCF number.
So the greatest common factor 708,9476 is 4.


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 3394/708, 8424/9476

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 3394/708, 8424/9476?

Answer: LCM of Numerators as per given numbers 3394/708, 8424/9476 is

LCM of Numerators i.e. for 3394,8424 is 14295528

GCF of denominators i.e. for 708,9476 is 4.

Thus, LCM of Fractions is 3573882.Finally, LCM of Fractions for 3394/708, 8424/9476 is 3573882.