Least Common Multiple of 25/51, 34/19, 592/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/51, 34/19, 592/16 quickly i.e. 251600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/51, 34/19, 592/16 is 251600.

LCM(25/51, 34/19, 592/16) = 251600

LCM of 25/51, 34/19, 592/16

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 25/51,34/19,592/16

Given numbers are 25/51,34/19,592/16

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 25,34,592

Least Common Multiple of Numerators i.e. LCM of 25,34,592 is 251600.

GCF of Denominators means GCF of 51,19,16 as per the given fractions.

GCF of 51,19,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,34,592

LCM of Fractions 25/51,34/19,592/16 is 251600

2 25, 34, 592
25, 17, 296

∴ So the LCM of the given numbers is 2 x 25 x 17 x 296 = 251600

Least Common Multiple of 25,34,592 with GCF Formula

Least Common Multiple of 25,34,592 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 25,34,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,34,592) = 1

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

GCF(25,34,592) x common factors =1 x 2 = 2

LCM(25,34,592) = ( 25 × 34 × 592 ) / 2

LCM(25,34,592) = 503200 / 2

LCM(25,34,592) = 251600


Lets's calculate GCF of 51,19,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251600/1

Therefore the LCM of Fractions 25/51,34/19,592/16 is 251600

Greatest Common Factor of 51,19,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,19,16 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 51,19,16 . The biggest common factor number is the GCF number.
So the greatest common factor 51,19,16 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 25/51, 34/19, 592/16

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 25/51, 34/19, 592/16?

Answer: LCM of Numerators as per given numbers 25/51, 34/19, 592/16 is

LCM of Numerators i.e. for 25,34,592 is 251600

GCF of denominators i.e. for 51,19,16 is 1.

Thus, LCM of Fractions is 251600.Finally, LCM of Fractions for 25/51, 34/19, 592/16 is 251600.