Least Common Multiple of 458/52, 978/26, 903/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/52, 978/26, 903/72 quickly i.e. 33706281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/52, 978/26, 903/72 is 33706281.

LCM(458/52, 978/26, 903/72) = 33706281

LCM of 458/52, 978/26, 903/72

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 458/52,978/26,903/72

Given numbers are 458/52,978/26,903/72

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 458,978,903

Least Common Multiple of Numerators i.e. LCM of 458,978,903 is 67412562.

GCF of Denominators means GCF of 52,26,72 as per the given fractions.

GCF of 52,26,72 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,978,903

LCM of Fractions 458/52,978/26,903/72 is 33706281

2 458, 978, 903
3 229, 489, 903
229, 163, 301

∴ So the LCM of the given numbers is 2 x 3 x 229 x 163 x 301 = 67412562

Least Common Multiple of 458,978,903 with GCF Formula

Least Common Multiple of 458,978,903 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 458,978,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,978,903) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(458,978,903) x common factors =1 x 6 = 6

LCM(458,978,903) = ( 458 × 978 × 903 ) / 6

LCM(458,978,903) = 404475372 / 6

LCM(458,978,903) = 67412562


Lets's calculate GCF of 52,26,72

2 52, 26, 72
26, 13, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67412562/2

Therefore the LCM of Fractions 458/52,978/26,903/72 is 33706281

Greatest Common Factor of 52,26,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,26,72 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 52,26,72 . The biggest common factor number is the GCF number.
So the greatest common factor 52,26,72 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 458/52, 978/26, 903/72

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 458/52, 978/26, 903/72?

Answer: LCM of Numerators as per given numbers 458/52, 978/26, 903/72 is

LCM of Numerators i.e. for 458,978,903 is 67412562

GCF of denominators i.e. for 52,26,72 is 2.

Thus, LCM of Fractions is 33706281.Finally, LCM of Fractions for 458/52, 978/26, 903/72 is 33706281.