Least Common Multiple of 48/610, 36/287, 475/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/610, 36/287, 475/524 quickly i.e. 68400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/610, 36/287, 475/524 is 68400.

LCM(48/610, 36/287, 475/524) = 68400

LCM of 48/610, 36/287, 475/524

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 48/610,36/287,475/524

Given numbers are 48/610,36/287,475/524

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 48,36,475

Least Common Multiple of Numerators i.e. LCM of 48,36,475 is 68400.

GCF of Denominators means GCF of 610,287,524 as per the given fractions.

GCF of 610,287,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,36,475

LCM of Fractions 48/610,36/287,475/524 is 68400

2 48, 36, 475
2 24, 18, 475
3 12, 9, 475
4, 3, 475

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 3 x 475 = 68400

Least Common Multiple of 48,36,475 with GCF Formula

Least Common Multiple of 48,36,475 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 48,36,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,36,475) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,36,475) x common factors =1 x 12 = 12

LCM(48,36,475) = ( 48 × 36 × 475 ) / 12

LCM(48,36,475) = 820800 / 12

LCM(48,36,475) = 68400


Lets's calculate GCF of 610,287,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68400/1

Therefore the LCM of Fractions 48/610,36/287,475/524 is 68400

Greatest Common Factor of 610,287,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,287,524 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 610,287,524 . The biggest common factor number is the GCF number.
So the greatest common factor 610,287,524 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 48/610, 36/287, 475/524

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 48/610, 36/287, 475/524?

Answer: LCM of Numerators as per given numbers 48/610, 36/287, 475/524 is

LCM of Numerators i.e. for 48,36,475 is 68400

GCF of denominators i.e. for 610,287,524 is 1.

Thus, LCM of Fractions is 68400.Finally, LCM of Fractions for 48/610, 36/287, 475/524 is 68400.