Least Common Multiple of 11/397, 61/706, 590/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/397, 61/706, 590/400 quickly i.e. 395890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/397, 61/706, 590/400 is 395890.

LCM(11/397, 61/706, 590/400) = 395890

LCM of 11/397, 61/706, 590/400

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 11/397,61/706,590/400

Given numbers are 11/397,61/706,590/400

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 11,61,590

Least Common Multiple of Numerators i.e. LCM of 11,61,590 is 395890.

GCF of Denominators means GCF of 397,706,400 as per the given fractions.

GCF of 397,706,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,61,590

LCM of Fractions 11/397,61/706,590/400 is 395890

Given numbers has no common factors except 1. So, there LCM is their product i.e 395890

Least Common Multiple of 11,61,590 with GCF Formula

Least Common Multiple of 11,61,590 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 11,61,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,61,590) = 1

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

GCF(11,61,590) x common factors =1 x 1 = 1

LCM(11,61,590) = ( 11 × 61 × 590 ) / 1

LCM(11,61,590) = 395890 / 1

LCM(11,61,590) = 395890


Lets's calculate GCF of 397,706,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395890/1

Therefore the LCM of Fractions 11/397,61/706,590/400 is 395890

Greatest Common Factor of 397,706,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,706,400 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 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 397,706,400 . The biggest common factor number is the GCF number.
So the greatest common factor 397,706,400 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 11/397, 61/706, 590/400

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 11/397, 61/706, 590/400?

Answer: LCM of Numerators as per given numbers 11/397, 61/706, 590/400 is

LCM of Numerators i.e. for 11,61,590 is 395890

GCF of denominators i.e. for 397,706,400 is 1.

Thus, LCM of Fractions is 395890.Finally, LCM of Fractions for 11/397, 61/706, 590/400 is 395890.