Least Common Multiple of 197/48, 794/58, 269/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 197/48, 794/58, 269/56 quickly i.e. 21038221 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 197/48, 794/58, 269/56 is 21038221.

LCM(197/48, 794/58, 269/56) = 21038221

LCM of 197/48, 794/58, 269/56

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 197/48,794/58,269/56

Given numbers are 197/48,794/58,269/56

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 197,794,269

Least Common Multiple of Numerators i.e. LCM of 197,794,269 is 42076442.

GCF of Denominators means GCF of 48,58,56 as per the given fractions.

GCF of 48,58,56 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 197,794,269

LCM of Fractions 197/48,794/58,269/56 is 21038221

Given numbers has no common factors except 1. So, there LCM is their product i.e 42076442

Least Common Multiple of 197,794,269 with GCF Formula

Least Common Multiple of 197,794,269 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 197,794,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,794,269) = 1

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

GCF(197,794,269) x common factors =1 x 1 = 1

LCM(197,794,269) = ( 197 × 794 × 269 ) / 1

LCM(197,794,269) = 42076442 / 1

LCM(197,794,269) = 42076442


Lets's calculate GCF of 48,58,56

2 48, 58, 56
24, 29, 28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42076442/2

Therefore the LCM of Fractions 197/48,794/58,269/56 is 21038221

Greatest Common Factor of 48,58,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,58,56 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 48,58,56 . The biggest common factor number is the GCF number.
So the greatest common factor 48,58,56 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 197/48, 794/58, 269/56

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 197/48, 794/58, 269/56?

Answer: LCM of Numerators as per given numbers 197/48, 794/58, 269/56 is

LCM of Numerators i.e. for 197,794,269 is 42076442

GCF of denominators i.e. for 48,58,56 is 2.

Thus, LCM of Fractions is 21038221.Finally, LCM of Fractions for 197/48, 794/58, 269/56 is 21038221.