Least Common Multiple of 25/345, 536/733, 160/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/345, 536/733, 160/536 quickly i.e. 53600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/345, 536/733, 160/536 is 53600.

LCM(25/345, 536/733, 160/536) = 53600

LCM of 25/345, 536/733, 160/536

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 25/345,536/733,160/536

Given numbers are 25/345,536/733,160/536

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 25,536,160

Least Common Multiple of Numerators i.e. LCM of 25,536,160 is 53600.

GCF of Denominators means GCF of 345,733,536 as per the given fractions.

GCF of 345,733,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,536,160

LCM of Fractions 25/345,536/733,160/536 is 53600

2 25, 536, 160
2 25, 268, 80
2 25, 134, 40
5 25, 67, 20
5, 67, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 67 x 4 = 53600

Least Common Multiple of 25,536,160 with GCF Formula

Least Common Multiple of 25,536,160 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 25,536,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,536,160) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(25,536,160) x common factors =1 x 40 = 40

LCM(25,536,160) = ( 25 × 536 × 160 ) / 40

LCM(25,536,160) = 2144000 / 40

LCM(25,536,160) = 53600


Lets's calculate GCF of 345,733,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53600/1

Therefore the LCM of Fractions 25/345,536/733,160/536 is 53600

Greatest Common Factor of 345,733,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,733,536 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 345,733,536 . The biggest common factor number is the GCF number.
So the greatest common factor 345,733,536 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 25/345, 536/733, 160/536

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 25/345, 536/733, 160/536?

Answer: LCM of Numerators as per given numbers 25/345, 536/733, 160/536 is

LCM of Numerators i.e. for 25,536,160 is 53600

GCF of denominators i.e. for 345,733,536 is 1.

Thus, LCM of Fractions is 53600.Finally, LCM of Fractions for 25/345, 536/733, 160/536 is 53600.