Least Common Multiple of 25/384, 562/80, 716/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/384, 562/80, 716/452 quickly i.e. 1257475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/384, 562/80, 716/452 is 1257475.

LCM(25/384, 562/80, 716/452) = 1257475

LCM of 25/384, 562/80, 716/452

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 25/384,562/80,716/452

Given numbers are 25/384,562/80,716/452

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 25,562,716

Least Common Multiple of Numerators i.e. LCM of 25,562,716 is 5029900.

GCF of Denominators means GCF of 384,80,452 as per the given fractions.

GCF of 384,80,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,562,716

LCM of Fractions 25/384,562/80,716/452 is 1257475

2 25, 562, 716
25, 281, 358

∴ So the LCM of the given numbers is 2 x 25 x 281 x 358 = 5029900

Least Common Multiple of 25,562,716 with GCF Formula

Least Common Multiple of 25,562,716 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 25,562,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,562,716) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,562,716) x common factors =1 x 2 = 2

LCM(25,562,716) = ( 25 × 562 × 716 ) / 2

LCM(25,562,716) = 10059800 / 2

LCM(25,562,716) = 5029900


Lets's calculate GCF of 384,80,452

2 384, 80, 452
2 192, 40, 226
96, 20, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5029900/4

Therefore the LCM of Fractions 25/384,562/80,716/452 is 1257475

Greatest Common Factor of 384,80,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,80,452 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 384,80,452 . The biggest common factor number is the GCF number.
So the greatest common factor 384,80,452 is 4.


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 25/384, 562/80, 716/452

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 25/384, 562/80, 716/452?

Answer: LCM of Numerators as per given numbers 25/384, 562/80, 716/452 is

LCM of Numerators i.e. for 25,562,716 is 5029900

GCF of denominators i.e. for 384,80,452 is 4.

Thus, LCM of Fractions is 1257475.Finally, LCM of Fractions for 25/384, 562/80, 716/452 is 1257475.