Least Common Multiple of 24/12, 63/880, 574/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/12, 63/880, 574/625 quickly i.e. 20664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/12, 63/880, 574/625 is 20664.

LCM(24/12, 63/880, 574/625) = 20664

LCM of 24/12, 63/880, 574/625

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 24/12,63/880,574/625

Given numbers are 24/12,63/880,574/625

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 24,63,574

Least Common Multiple of Numerators i.e. LCM of 24,63,574 is 20664.

GCF of Denominators means GCF of 12,880,625 as per the given fractions.

GCF of 12,880,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,63,574

LCM of Fractions 24/12,63/880,574/625 is 20664

2 24, 63, 574
3 12, 63, 287
7 4, 21, 287
4, 3, 41

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 3 x 41 = 20664

Least Common Multiple of 24,63,574 with GCF Formula

Least Common Multiple of 24,63,574 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 24,63,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,63,574) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(24,63,574) x common factors =1 x 42 = 42

LCM(24,63,574) = ( 24 × 63 × 574 ) / 42

LCM(24,63,574) = 867888 / 42

LCM(24,63,574) = 20664


Lets's calculate GCF of 12,880,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20664/1

Therefore the LCM of Fractions 24/12,63/880,574/625 is 20664

Greatest Common Factor of 12,880,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,880,625 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 12,880,625 . The biggest common factor number is the GCF number.
So the greatest common factor 12,880,625 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/12, 63/880, 574/625

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 24/12, 63/880, 574/625?

Answer: LCM of Numerators as per given numbers 24/12, 63/880, 574/625 is

LCM of Numerators i.e. for 24,63,574 is 20664

GCF of denominators i.e. for 12,880,625 is 1.

Thus, LCM of Fractions is 20664.Finally, LCM of Fractions for 24/12, 63/880, 574/625 is 20664.