Least Common Multiple of 72/196, 23/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/196, 23/418 quickly i.e. 828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/196, 23/418 is 828.

LCM(72/196, 23/418) = 828

LCM of 72/196, 23/418

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 72/196,23/418

Given numbers are 72/196,23/418

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 72,23

Least Common Multiple of Numerators i.e. LCM of 72,23 is 1656.

GCF of Denominators means GCF of 196,418 as per the given fractions.

GCF of 196,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,23

LCM of Fractions 72/196,23/418 is 828

Given numbers has no common factors except 1. So, there LCM is their product i.e 1656

Least Common Multiple of 72,23 with GCF Formula

Least Common Multiple of 72,23 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 72,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,23) = 1

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

GCF(72,23) x common factors =1 x 1 = 1

LCM(72,23) = ( 72 × 23 ) / 1

LCM(72,23) = 1656 / 1

LCM(72,23) = 1656


Lets's calculate GCF of 196,418

2 196, 418
98, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656/2

Therefore the LCM of Fractions 72/196,23/418 is 828

Greatest Common Factor of 196,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,418 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 196,418 . The biggest common factor number is the GCF number.
So the greatest common factor 196,418 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 72/196, 23/418

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 72/196, 23/418?

Answer: LCM of Numerators as per given numbers 72/196, 23/418 is

LCM of Numerators i.e. for 72,23 is 1656

GCF of denominators i.e. for 196,418 is 2.

Thus, LCM of Fractions is 828.Finally, LCM of Fractions for 72/196, 23/418 is 828.