Least Common Multiple of 97/50, 71/65, 81/24, 50/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/50, 71/65, 81/24, 50/224 quickly i.e. 27892350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/50, 71/65, 81/24, 50/224 is 27892350.

LCM(97/50, 71/65, 81/24, 50/224) = 27892350

LCM of 97/50, 71/65, 81/24, 50/224

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 97/50,71/65,81/24,50/224

Given numbers are 97/50,71/65,81/24,50/224

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 97,71,81,50

Least Common Multiple of Numerators i.e. LCM of 97,71,81,50 is 27892350.

GCF of Denominators means GCF of 50,65,24,224 as per the given fractions.

GCF of 50,65,24,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,71,81,50

LCM of Fractions 97/50,71/65,81/24,50/224 is 27892350

Given numbers has no common factors except 1. So, there LCM is their product i.e 27892350

Least Common Multiple of 97,71,81,50 with GCF Formula

Least Common Multiple of 97,71,81,50 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 97,71,81,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,71,81,50) = 1

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

GCF(97,71,81,50) x common factors =1 x 1 = 1

LCM(97,71,81,50) = ( 97 × 71 × 81 × 50 ) / 1

LCM(97,71,81,50) = 27892350 / 1

LCM(97,71,81,50) = 27892350


Lets's calculate GCF of 50,65,24,224

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27892350/1

Therefore the LCM of Fractions 97/50,71/65,81/24,50/224 is 27892350

Greatest Common Factor of 50,65,24,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,65,24,224 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

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 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 50,65,24,224 . The biggest common factor number is the GCF number.
So the greatest common factor 50,65,24,224 is 1.


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 97/50, 71/65, 81/24, 50/224

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 97/50, 71/65, 81/24, 50/224?

Answer: LCM of Numerators as per given numbers 97/50, 71/65, 81/24, 50/224 is

LCM of Numerators i.e. for 97,71,81,50 is 27892350

GCF of denominators i.e. for 50,65,24,224 is 1.

Thus, LCM of Fractions is 27892350.Finally, LCM of Fractions for 97/50, 71/65, 81/24, 50/224 is 27892350.