Least Common Multiple of 48/523, 66/604, 240/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/523, 66/604, 240/468 quickly i.e. 2640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/523, 66/604, 240/468 is 2640.

LCM(48/523, 66/604, 240/468) = 2640

LCM of 48/523, 66/604, 240/468

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 48/523,66/604,240/468

Given numbers are 48/523,66/604,240/468

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 48,66,240

Least Common Multiple of Numerators i.e. LCM of 48,66,240 is 2640.

GCF of Denominators means GCF of 523,604,468 as per the given fractions.

GCF of 523,604,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,66,240

LCM of Fractions 48/523,66/604,240/468 is 2640

2 48, 66, 240
2 24, 33, 120
2 12, 33, 60
2 6, 33, 30
3 3, 33, 15
1, 11, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 11 x 5 = 2640

Least Common Multiple of 48,66,240 with GCF Formula

Least Common Multiple of 48,66,240 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 48,66,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,66,240) = 6

common factors(in case of two or more numbers have common factors) = 48

GCF(48,66,240) x common factors =6 x 48 = 288

LCM(48,66,240) = ( 48 × 66 × 240 ) / 288

LCM(48,66,240) = 760320 / 288

LCM(48,66,240) = 2640


Lets's calculate GCF of 523,604,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2640/1

Therefore the LCM of Fractions 48/523,66/604,240/468 is 2640

Greatest Common Factor of 523,604,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,604,468 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 523,604,468 . The biggest common factor number is the GCF number.
So the greatest common factor 523,604,468 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 48/523, 66/604, 240/468

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 48/523, 66/604, 240/468?

Answer: LCM of Numerators as per given numbers 48/523, 66/604, 240/468 is

LCM of Numerators i.e. for 48,66,240 is 2640

GCF of denominators i.e. for 523,604,468 is 1.

Thus, LCM of Fractions is 2640.Finally, LCM of Fractions for 48/523, 66/604, 240/468 is 2640.