Least Common Multiple of 47/24, 75/66, 95/16, 56/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/24, 75/66, 95/16, 56/244 quickly i.e. 1875300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/24, 75/66, 95/16, 56/244 is 1875300.

LCM(47/24, 75/66, 95/16, 56/244) = 1875300

LCM of 47/24, 75/66, 95/16, 56/244

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 47/24,75/66,95/16,56/244

Given numbers are 47/24,75/66,95/16,56/244

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 47,75,95,56

Least Common Multiple of Numerators i.e. LCM of 47,75,95,56 is 3750600.

GCF of Denominators means GCF of 24,66,16,244 as per the given fractions.

GCF of 24,66,16,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,75,95,56

LCM of Fractions 47/24,75/66,95/16,56/244 is 1875300

5 47, 75, 95, 56
47, 15, 19, 56

∴ So the LCM of the given numbers is 5 x 47 x 15 x 19 x 56 = 3750600

Least Common Multiple of 47,75,95,56 with GCF Formula

Least Common Multiple of 47,75,95,56 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 47,75,95,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,75,95,56) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(47,75,95,56) x common factors =1 x 5 = 5

LCM(47,75,95,56) = ( 47 × 75 × 95 × 56 ) / 5

LCM(47,75,95,56) = 18753000 / 5

LCM(47,75,95,56) = 3750600


Lets's calculate GCF of 24,66,16,244

2 24, 66, 16, 244
12, 33, 8, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3750600/2

Therefore the LCM of Fractions 47/24,75/66,95/16,56/244 is 1875300

Greatest Common Factor of 24,66,16,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,66,16,244 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 24,66,16,244 . The biggest common factor number is the GCF number.
So the greatest common factor 24,66,16,244 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 47/24, 75/66, 95/16, 56/244

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 47/24, 75/66, 95/16, 56/244?

Answer: LCM of Numerators as per given numbers 47/24, 75/66, 95/16, 56/244 is

LCM of Numerators i.e. for 47,75,95,56 is 3750600

GCF of denominators i.e. for 24,66,16,244 is 2.

Thus, LCM of Fractions is 1875300.Finally, LCM of Fractions for 47/24, 75/66, 95/16, 56/244 is 1875300.