Least Common Multiple of 11/41, 96/87, 49/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/41, 96/87, 49/753 quickly i.e. 51744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/41, 96/87, 49/753 is 51744.

LCM(11/41, 96/87, 49/753) = 51744

LCM of 11/41, 96/87, 49/753

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 11/41,96/87,49/753

Given numbers are 11/41,96/87,49/753

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 11,96,49

Least Common Multiple of Numerators i.e. LCM of 11,96,49 is 51744.

GCF of Denominators means GCF of 41,87,753 as per the given fractions.

GCF of 41,87,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,96,49

LCM of Fractions 11/41,96/87,49/753 is 51744

Given numbers has no common factors except 1. So, there LCM is their product i.e 51744

Least Common Multiple of 11,96,49 with GCF Formula

Least Common Multiple of 11,96,49 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 11,96,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,96,49) = 1

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

GCF(11,96,49) x common factors =1 x 1 = 1

LCM(11,96,49) = ( 11 × 96 × 49 ) / 1

LCM(11,96,49) = 51744 / 1

LCM(11,96,49) = 51744


Lets's calculate GCF of 41,87,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51744/1

Therefore the LCM of Fractions 11/41,96/87,49/753 is 51744

Greatest Common Factor of 41,87,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,87,753 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 41,87,753 . The biggest common factor number is the GCF number.
So the greatest common factor 41,87,753 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 11/41, 96/87, 49/753

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 11/41, 96/87, 49/753?

Answer: LCM of Numerators as per given numbers 11/41, 96/87, 49/753 is

LCM of Numerators i.e. for 11,96,49 is 51744

GCF of denominators i.e. for 41,87,753 is 1.

Thus, LCM of Fractions is 51744.Finally, LCM of Fractions for 11/41, 96/87, 49/753 is 51744.