Least Common Multiple of 240/984, 5274/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/984, 5274/471 quickly i.e. 70320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/984, 5274/471 is 70320.

LCM(240/984, 5274/471) = 70320

LCM of 240/984, 5274/471

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 240/984,5274/471

Given numbers are 240/984,5274/471

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 240,5274

Least Common Multiple of Numerators i.e. LCM of 240,5274 is 210960.

GCF of Denominators means GCF of 984,471 as per the given fractions.

GCF of 984,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,5274

LCM of Fractions 240/984,5274/471 is 70320

2 240, 5274
3 120, 2637
40, 879

∴ So the LCM of the given numbers is 2 x 3 x 40 x 879 = 210960

Least Common Multiple of 240,5274 with GCF Formula

Least Common Multiple of 240,5274 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 240,5274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,5274) = 6

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

GCF(240,5274) x common factors =6 x 1 = 6

LCM(240,5274) = ( 240 × 5274 ) / 6

LCM(240,5274) = 1265760 / 6

LCM(240,5274) = 210960


Lets's calculate GCF of 984,471

3 984, 471
328, 157

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210960/3

Therefore the LCM of Fractions 240/984,5274/471 is 70320

Greatest Common Factor of 984,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,471 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 984,471 . The biggest common factor number is the GCF number.
So the greatest common factor 984,471 is 3.


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 240/984, 5274/471

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 240/984, 5274/471?

Answer: LCM of Numerators as per given numbers 240/984, 5274/471 is

LCM of Numerators i.e. for 240,5274 is 210960

GCF of denominators i.e. for 984,471 is 3.

Thus, LCM of Fractions is 70320.Finally, LCM of Fractions for 240/984, 5274/471 is 70320.