Least Common Multiple of 16/80, 112/24, 754/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/80, 112/24, 754/452 quickly i.e. 10556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/80, 112/24, 754/452 is 10556.

LCM(16/80, 112/24, 754/452) = 10556

LCM of 16/80, 112/24, 754/452

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 16/80,112/24,754/452

Given numbers are 16/80,112/24,754/452

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 16,112,754

Least Common Multiple of Numerators i.e. LCM of 16,112,754 is 42224.

GCF of Denominators means GCF of 80,24,452 as per the given fractions.

GCF of 80,24,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,112,754

LCM of Fractions 16/80,112/24,754/452 is 10556

2 16, 112, 754
2 8, 56, 377
2 4, 28, 377
2 2, 14, 377
1, 7, 377

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 7 x 377 = 42224

Least Common Multiple of 16,112,754 with GCF Formula

Least Common Multiple of 16,112,754 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 16,112,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,112,754) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,112,754) x common factors =2 x 16 = 32

LCM(16,112,754) = ( 16 × 112 × 754 ) / 32

LCM(16,112,754) = 1351168 / 32

LCM(16,112,754) = 42224


Lets's calculate GCF of 80,24,452

2 80, 24, 452
2 40, 12, 226
20, 6, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42224/4

Therefore the LCM of Fractions 16/80,112/24,754/452 is 10556

Greatest Common Factor of 80,24,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,24,452 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 80,24,452 . The biggest common factor number is the GCF number.
So the greatest common factor 80,24,452 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 16/80, 112/24, 754/452

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 16/80, 112/24, 754/452?

Answer: LCM of Numerators as per given numbers 16/80, 112/24, 754/452 is

LCM of Numerators i.e. for 16,112,754 is 42224

GCF of denominators i.e. for 80,24,452 is 4.

Thus, LCM of Fractions is 10556.Finally, LCM of Fractions for 16/80, 112/24, 754/452 is 10556.