Least Common Multiple of 544/418, 560/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/418, 560/266 quickly i.e. 19040/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/418, 560/266 is 19040/38.

LCM(544/418, 560/266) = 19040/38

LCM of 544/418, 560/266

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 544/418,560/266

Given numbers are 544/418,560/266

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 544,560

Least Common Multiple of Numerators i.e. LCM of 544,560 is 19040.

GCF of Denominators means GCF of 418,266 as per the given fractions.

GCF of 418,266 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,560

LCM of Fractions 544/418,560/266 is 19040/38

2 544, 560
2 272, 280
2 136, 140
2 68, 70
34, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 34 x 35 = 19040

Least Common Multiple of 544,560 with GCF Formula

Least Common Multiple of 544,560 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 544,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,560) = 16

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

GCF(544,560) x common factors =16 x 1 = 16

LCM(544,560) = ( 544 × 560 ) / 16

LCM(544,560) = 304640 / 16

LCM(544,560) = 19040


Lets's calculate GCF of 418,266

2 418, 266
19 209, 133
11, 7

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19040/38

Therefore the LCM of Fractions 544/418,560/266 is 19040/38

Greatest Common Factor of 418,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,266 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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 418,266 . The biggest common factor number is the GCF number.
So the greatest common factor 418,266 is 38.


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 544/418, 560/266

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 544/418, 560/266?

Answer: LCM of Numerators as per given numbers 544/418, 560/266 is

LCM of Numerators i.e. for 544,560 is 19040

GCF of denominators i.e. for 418,266 is 38.

Thus, LCM of Fractions is 19040/38.Finally, LCM of Fractions for 544/418, 560/266 is 19040/38.