Least Common Multiple of 8774/394, 7056/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8774/394, 7056/278 quickly i.e. 15477336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8774/394, 7056/278 is 15477336.

LCM(8774/394, 7056/278) = 15477336

LCM of 8774/394, 7056/278

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 8774/394,7056/278

Given numbers are 8774/394,7056/278

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 8774,7056

Least Common Multiple of Numerators i.e. LCM of 8774,7056 is 30954672.

GCF of Denominators means GCF of 394,278 as per the given fractions.

GCF of 394,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8774,7056

LCM of Fractions 8774/394,7056/278 is 15477336

2 8774, 7056
4387, 3528

∴ So the LCM of the given numbers is 2 x 4387 x 3528 = 30954672

Least Common Multiple of 8774,7056 with GCF Formula

Least Common Multiple of 8774,7056 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 8774,7056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8774,7056) = 2

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

GCF(8774,7056) x common factors =2 x 1 = 2

LCM(8774,7056) = ( 8774 × 7056 ) / 2

LCM(8774,7056) = 61909344 / 2

LCM(8774,7056) = 30954672


Lets's calculate GCF of 394,278

2 394, 278
197, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30954672/2

Therefore the LCM of Fractions 8774/394,7056/278 is 15477336

Greatest Common Factor of 394,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,278 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 394,278 . The biggest common factor number is the GCF number.
So the greatest common factor 394,278 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 8774/394, 7056/278

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 8774/394, 7056/278?

Answer: LCM of Numerators as per given numbers 8774/394, 7056/278 is

LCM of Numerators i.e. for 8774,7056 is 30954672

GCF of denominators i.e. for 394,278 is 2.

Thus, LCM of Fractions is 15477336.Finally, LCM of Fractions for 8774/394, 7056/278 is 15477336.