Least Common Multiple of 23/50, 73/84, 97/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/50, 73/84, 97/414 quickly i.e. 162863/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/50, 73/84, 97/414 is 162863/2.

LCM(23/50, 73/84, 97/414) = 162863/2

LCM of 23/50, 73/84, 97/414

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 23/50,73/84,97/414

Given numbers are 23/50,73/84,97/414

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 23,73,97

Least Common Multiple of Numerators i.e. LCM of 23,73,97 is 162863.

GCF of Denominators means GCF of 50,84,414 as per the given fractions.

GCF of 50,84,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,73,97

LCM of Fractions 23/50,73/84,97/414 is 162863/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 162863

Least Common Multiple of 23,73,97 with GCF Formula

Least Common Multiple of 23,73,97 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 23,73,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,73,97) = 1

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

GCF(23,73,97) x common factors =1 x 1 = 1

LCM(23,73,97) = ( 23 × 73 × 97 ) / 1

LCM(23,73,97) = 162863 / 1

LCM(23,73,97) = 162863


Lets's calculate GCF of 50,84,414

2 50, 84, 414
25, 42, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162863/2

Therefore the LCM of Fractions 23/50,73/84,97/414 is 162863/2

Greatest Common Factor of 50,84,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,84,414 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 50,84,414 . The biggest common factor number is the GCF number.
So the greatest common factor 50,84,414 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 23/50, 73/84, 97/414

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 23/50, 73/84, 97/414?

Answer: LCM of Numerators as per given numbers 23/50, 73/84, 97/414 is

LCM of Numerators i.e. for 23,73,97 is 162863

GCF of denominators i.e. for 50,84,414 is 2.

Thus, LCM of Fractions is 162863/2.Finally, LCM of Fractions for 23/50, 73/84, 97/414 is 162863/2.