Least Common Multiple of 288/418, 474/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/418, 474/554 quickly i.e. 11376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/418, 474/554 is 11376.

LCM(288/418, 474/554) = 11376

LCM of 288/418, 474/554

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 288/418,474/554

Given numbers are 288/418,474/554

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 288,474

Least Common Multiple of Numerators i.e. LCM of 288,474 is 22752.

GCF of Denominators means GCF of 418,554 as per the given fractions.

GCF of 418,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,474

LCM of Fractions 288/418,474/554 is 11376

2 288, 474
3 144, 237
48, 79

∴ So the LCM of the given numbers is 2 x 3 x 48 x 79 = 22752

Least Common Multiple of 288,474 with GCF Formula

Least Common Multiple of 288,474 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 288,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,474) = 6

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

GCF(288,474) x common factors =6 x 1 = 6

LCM(288,474) = ( 288 × 474 ) / 6

LCM(288,474) = 136512 / 6

LCM(288,474) = 22752


Lets's calculate GCF of 418,554

2 418, 554
209, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22752/2

Therefore the LCM of Fractions 288/418,474/554 is 11376

Greatest Common Factor of 418,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,554 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 418,554 . The biggest common factor number is the GCF number.
So the greatest common factor 418,554 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 288/418, 474/554

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 288/418, 474/554?

Answer: LCM of Numerators as per given numbers 288/418, 474/554 is

LCM of Numerators i.e. for 288,474 is 22752

GCF of denominators i.e. for 418,554 is 2.

Thus, LCM of Fractions is 11376.Finally, LCM of Fractions for 288/418, 474/554 is 11376.