Least Common Multiple of 54/462, 58/912, 272/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/462, 58/912, 272/560 quickly i.e. 106488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/462, 58/912, 272/560 is 106488.

LCM(54/462, 58/912, 272/560) = 106488

LCM of 54/462, 58/912, 272/560

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 54/462,58/912,272/560

Given numbers are 54/462,58/912,272/560

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 54,58,272

Least Common Multiple of Numerators i.e. LCM of 54,58,272 is 212976.

GCF of Denominators means GCF of 462,912,560 as per the given fractions.

GCF of 462,912,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,58,272

LCM of Fractions 54/462,58/912,272/560 is 106488

2 54, 58, 272
27, 29, 136

∴ So the LCM of the given numbers is 2 x 27 x 29 x 136 = 212976

Least Common Multiple of 54,58,272 with GCF Formula

Least Common Multiple of 54,58,272 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 54,58,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,58,272) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,58,272) x common factors =2 x 2 = 4

LCM(54,58,272) = ( 54 × 58 × 272 ) / 4

LCM(54,58,272) = 851904 / 4

LCM(54,58,272) = 212976


Lets's calculate GCF of 462,912,560

2 462, 912, 560
231, 456, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212976/2

Therefore the LCM of Fractions 54/462,58/912,272/560 is 106488

Greatest Common Factor of 462,912,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,912,560 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 462,912,560 . The biggest common factor number is the GCF number.
So the greatest common factor 462,912,560 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 54/462, 58/912, 272/560

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 54/462, 58/912, 272/560?

Answer: LCM of Numerators as per given numbers 54/462, 58/912, 272/560 is

LCM of Numerators i.e. for 54,58,272 is 212976

GCF of denominators i.e. for 462,912,560 is 2.

Thus, LCM of Fractions is 106488.Finally, LCM of Fractions for 54/462, 58/912, 272/560 is 106488.