Least Common Multiple of 16/96, 87/256, 900/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/96, 87/256, 900/452 quickly i.e. 26100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/96, 87/256, 900/452 is 26100.

LCM(16/96, 87/256, 900/452) = 26100

LCM of 16/96, 87/256, 900/452

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 16/96,87/256,900/452

Given numbers are 16/96,87/256,900/452

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 16,87,900

Least Common Multiple of Numerators i.e. LCM of 16,87,900 is 104400.

GCF of Denominators means GCF of 96,256,452 as per the given fractions.

GCF of 96,256,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,87,900

LCM of Fractions 16/96,87/256,900/452 is 26100

2 16, 87, 900
2 8, 87, 450
3 4, 87, 225
4, 29, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 29 x 75 = 104400

Least Common Multiple of 16,87,900 with GCF Formula

Least Common Multiple of 16,87,900 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 16,87,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,87,900) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(16,87,900) x common factors =1 x 12 = 12

LCM(16,87,900) = ( 16 × 87 × 900 ) / 12

LCM(16,87,900) = 1252800 / 12

LCM(16,87,900) = 104400


Lets's calculate GCF of 96,256,452

2 96, 256, 452
2 48, 128, 226
24, 64, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104400/4

Therefore the LCM of Fractions 16/96,87/256,900/452 is 26100

Greatest Common Factor of 96,256,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,256,452 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

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 96,256,452 . The biggest common factor number is the GCF number.
So the greatest common factor 96,256,452 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 16/96, 87/256, 900/452

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 16/96, 87/256, 900/452?

Answer: LCM of Numerators as per given numbers 16/96, 87/256, 900/452 is

LCM of Numerators i.e. for 16,87,900 is 104400

GCF of denominators i.e. for 96,256,452 is 4.

Thus, LCM of Fractions is 26100.Finally, LCM of Fractions for 16/96, 87/256, 900/452 is 26100.