Least Common Multiple of 55/24, 45/888, 438/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/24, 45/888, 438/538 quickly i.e. 36135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/24, 45/888, 438/538 is 36135.

LCM(55/24, 45/888, 438/538) = 36135

LCM of 55/24, 45/888, 438/538

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 55/24,45/888,438/538

Given numbers are 55/24,45/888,438/538

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 55,45,438

Least Common Multiple of Numerators i.e. LCM of 55,45,438 is 72270.

GCF of Denominators means GCF of 24,888,538 as per the given fractions.

GCF of 24,888,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,45,438

LCM of Fractions 55/24,45/888,438/538 is 36135

3 55, 45, 438
5 55, 15, 146
11, 3, 146

∴ So the LCM of the given numbers is 3 x 5 x 11 x 3 x 146 = 72270

Least Common Multiple of 55,45,438 with GCF Formula

Least Common Multiple of 55,45,438 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 55,45,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,45,438) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(55,45,438) x common factors =1 x 15 = 15

LCM(55,45,438) = ( 55 × 45 × 438 ) / 15

LCM(55,45,438) = 1084050 / 15

LCM(55,45,438) = 72270


Lets's calculate GCF of 24,888,538

2 24, 888, 538
12, 444, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72270/2

Therefore the LCM of Fractions 55/24,45/888,438/538 is 36135

Greatest Common Factor of 24,888,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,888,538 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 24,888,538 . The biggest common factor number is the GCF number.
So the greatest common factor 24,888,538 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 55/24, 45/888, 438/538

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 55/24, 45/888, 438/538?

Answer: LCM of Numerators as per given numbers 55/24, 45/888, 438/538 is

LCM of Numerators i.e. for 55,45,438 is 72270

GCF of denominators i.e. for 24,888,538 is 2.

Thus, LCM of Fractions is 36135.Finally, LCM of Fractions for 55/24, 45/888, 438/538 is 36135.