Least Common Multiple of 544/241, 7386/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/241, 7386/964 quickly i.e. 2008992/241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/241, 7386/964 is 2008992/241.

LCM(544/241, 7386/964) = 2008992/241

LCM of 544/241, 7386/964

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 544/241,7386/964

Given numbers are 544/241,7386/964

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 544,7386

Least Common Multiple of Numerators i.e. LCM of 544,7386 is 2008992.

GCF of Denominators means GCF of 241,964 as per the given fractions.

GCF of 241,964 is 241 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,7386

LCM of Fractions 544/241,7386/964 is 2008992/241

2 544, 7386
272, 3693

∴ So the LCM of the given numbers is 2 x 272 x 3693 = 2008992

Least Common Multiple of 544,7386 with GCF Formula

Least Common Multiple of 544,7386 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 544,7386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,7386) = 2

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

GCF(544,7386) x common factors =2 x 1 = 2

LCM(544,7386) = ( 544 × 7386 ) / 2

LCM(544,7386) = 4017984 / 2

LCM(544,7386) = 2008992


Lets's calculate GCF of 241,964

241 241, 964
1, 4

∴ So the GCF of the given numbers is 241 = 241

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2008992/241

Therefore the LCM of Fractions 544/241,7386/964 is 2008992/241

Greatest Common Factor of 241,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,964 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 241,964 . The biggest common factor number is the GCF number.
So the greatest common factor 241,964 is 241.


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 544/241, 7386/964

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 544/241, 7386/964?

Answer: LCM of Numerators as per given numbers 544/241, 7386/964 is

LCM of Numerators i.e. for 544,7386 is 2008992

GCF of denominators i.e. for 241,964 is 241.

Thus, LCM of Fractions is 2008992/241.Finally, LCM of Fractions for 544/241, 7386/964 is 2008992/241.