Least Common Multiple of 25/402, 144/633, 782/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/402, 144/633, 782/960 quickly i.e. 469200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/402, 144/633, 782/960 is 469200.

LCM(25/402, 144/633, 782/960) = 469200

LCM of 25/402, 144/633, 782/960

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 25/402,144/633,782/960

Given numbers are 25/402,144/633,782/960

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 25,144,782

Least Common Multiple of Numerators i.e. LCM of 25,144,782 is 1407600.

GCF of Denominators means GCF of 402,633,960 as per the given fractions.

GCF of 402,633,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,144,782

LCM of Fractions 25/402,144/633,782/960 is 469200

2 25, 144, 782
25, 72, 391

∴ So the LCM of the given numbers is 2 x 25 x 72 x 391 = 1407600

Least Common Multiple of 25,144,782 with GCF Formula

Least Common Multiple of 25,144,782 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 25,144,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,144,782) = 1

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

GCF(25,144,782) x common factors =1 x 2 = 2

LCM(25,144,782) = ( 25 × 144 × 782 ) / 2

LCM(25,144,782) = 2815200 / 2

LCM(25,144,782) = 1407600


Lets's calculate GCF of 402,633,960

3 402, 633, 960
134, 211, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1407600/3

Therefore the LCM of Fractions 25/402,144/633,782/960 is 469200

Greatest Common Factor of 402,633,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,633,960 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 402,633,960 . The biggest common factor number is the GCF number.
So the greatest common factor 402,633,960 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 25/402, 144/633, 782/960

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 25/402, 144/633, 782/960?

Answer: LCM of Numerators as per given numbers 25/402, 144/633, 782/960 is

LCM of Numerators i.e. for 25,144,782 is 1407600

GCF of denominators i.e. for 402,633,960 is 3.

Thus, LCM of Fractions is 469200.Finally, LCM of Fractions for 25/402, 144/633, 782/960 is 469200.