Least Common Multiple of 41/40, 984/49, 588/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/40, 984/49, 588/400 quickly i.e. 48216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/40, 984/49, 588/400 is 48216.

LCM(41/40, 984/49, 588/400) = 48216

LCM of 41/40, 984/49, 588/400

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 41/40,984/49,588/400

Given numbers are 41/40,984/49,588/400

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 41,984,588

Least Common Multiple of Numerators i.e. LCM of 41,984,588 is 48216.

GCF of Denominators means GCF of 40,49,400 as per the given fractions.

GCF of 40,49,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,984,588

LCM of Fractions 41/40,984/49,588/400 is 48216

2 41, 984, 588
2 41, 492, 294
3 41, 246, 147
41 41, 82, 49
1, 2, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 1 x 2 x 49 = 48216

Least Common Multiple of 41,984,588 with GCF Formula

Least Common Multiple of 41,984,588 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 41,984,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,984,588) = 1

common factors(in case of two or more numbers have common factors) = 492

GCF(41,984,588) x common factors =1 x 492 = 492

LCM(41,984,588) = ( 41 × 984 × 588 ) / 492

LCM(41,984,588) = 23722272 / 492

LCM(41,984,588) = 48216


Lets's calculate GCF of 40,49,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48216/1

Therefore the LCM of Fractions 41/40,984/49,588/400 is 48216

Greatest Common Factor of 40,49,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,49,400 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 40,49,400 . The biggest common factor number is the GCF number.
So the greatest common factor 40,49,400 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 41/40, 984/49, 588/400

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 41/40, 984/49, 588/400?

Answer: LCM of Numerators as per given numbers 41/40, 984/49, 588/400 is

LCM of Numerators i.e. for 41,984,588 is 48216

GCF of denominators i.e. for 40,49,400 is 1.

Thus, LCM of Fractions is 48216.Finally, LCM of Fractions for 41/40, 984/49, 588/400 is 48216.