Least Common Multiple of 59/397, 23/499, 196/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/397, 23/499, 196/452 quickly i.e. 265972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/397, 23/499, 196/452 is 265972.

LCM(59/397, 23/499, 196/452) = 265972

LCM of 59/397, 23/499, 196/452

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 59/397,23/499,196/452

Given numbers are 59/397,23/499,196/452

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 59,23,196

Least Common Multiple of Numerators i.e. LCM of 59,23,196 is 265972.

GCF of Denominators means GCF of 397,499,452 as per the given fractions.

GCF of 397,499,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,23,196

LCM of Fractions 59/397,23/499,196/452 is 265972

Given numbers has no common factors except 1. So, there LCM is their product i.e 265972

Least Common Multiple of 59,23,196 with GCF Formula

Least Common Multiple of 59,23,196 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 59,23,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,23,196) = 1

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

GCF(59,23,196) x common factors =1 x 1 = 1

LCM(59,23,196) = ( 59 × 23 × 196 ) / 1

LCM(59,23,196) = 265972 / 1

LCM(59,23,196) = 265972


Lets's calculate GCF of 397,499,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265972/1

Therefore the LCM of Fractions 59/397,23/499,196/452 is 265972

Greatest Common Factor of 397,499,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,499,452 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 397,499,452 . The biggest common factor number is the GCF number.
So the greatest common factor 397,499,452 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 59/397, 23/499, 196/452

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 59/397, 23/499, 196/452?

Answer: LCM of Numerators as per given numbers 59/397, 23/499, 196/452 is

LCM of Numerators i.e. for 59,23,196 is 265972

GCF of denominators i.e. for 397,499,452 is 1.

Thus, LCM of Fractions is 265972.Finally, LCM of Fractions for 59/397, 23/499, 196/452 is 265972.