Least Common Multiple of 16/95, 42/31, 52/26, 47/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/95, 42/31, 52/26, 47/253 quickly i.e. 205296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/95, 42/31, 52/26, 47/253 is 205296.

LCM(16/95, 42/31, 52/26, 47/253) = 205296

LCM of 16/95, 42/31, 52/26, 47/253

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 16/95,42/31,52/26,47/253

Given numbers are 16/95,42/31,52/26,47/253

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 16,42,52,47

Least Common Multiple of Numerators i.e. LCM of 16,42,52,47 is 205296.

GCF of Denominators means GCF of 95,31,26,253 as per the given fractions.

GCF of 95,31,26,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,42,52,47

LCM of Fractions 16/95,42/31,52/26,47/253 is 205296

2 16, 42, 52, 47
2 8, 21, 26, 47
4, 21, 13, 47

∴ So the LCM of the given numbers is 2 x 2 x 4 x 21 x 13 x 47 = 205296

Least Common Multiple of 16,42,52,47 with GCF Formula

Least Common Multiple of 16,42,52,47 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 16,42,52,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,42,52,47) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(16,42,52,47) x common factors =1 x 8 = 8

LCM(16,42,52,47) = ( 16 × 42 × 52 × 47 ) / 8

LCM(16,42,52,47) = 1642368 / 8

LCM(16,42,52,47) = 205296


Lets's calculate GCF of 95,31,26,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205296/1

Therefore the LCM of Fractions 16/95,42/31,52/26,47/253 is 205296

Greatest Common Factor of 95,31,26,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,31,26,253 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 95,31,26,253 . The biggest common factor number is the GCF number.
So the greatest common factor 95,31,26,253 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 16/95, 42/31, 52/26, 47/253

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 16/95, 42/31, 52/26, 47/253?

Answer: LCM of Numerators as per given numbers 16/95, 42/31, 52/26, 47/253 is

LCM of Numerators i.e. for 16,42,52,47 is 205296

GCF of denominators i.e. for 95,31,26,253 is 1.

Thus, LCM of Fractions is 205296.Finally, LCM of Fractions for 16/95, 42/31, 52/26, 47/253 is 205296.