Least Common Multiple of 16/240, 848/450, 933/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/240, 848/450, 933/692 quickly i.e. 395592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/240, 848/450, 933/692 is 395592.

LCM(16/240, 848/450, 933/692) = 395592

LCM of 16/240, 848/450, 933/692

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 16/240,848/450,933/692

Given numbers are 16/240,848/450,933/692

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 16,848,933

Least Common Multiple of Numerators i.e. LCM of 16,848,933 is 791184.

GCF of Denominators means GCF of 240,450,692 as per the given fractions.

GCF of 240,450,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,848,933

LCM of Fractions 16/240,848/450,933/692 is 395592

2 16, 848, 933
2 8, 424, 933
2 4, 212, 933
2 2, 106, 933
1, 53, 933

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 53 x 933 = 791184

Least Common Multiple of 16,848,933 with GCF Formula

Least Common Multiple of 16,848,933 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 16,848,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,848,933) = 1

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

GCF(16,848,933) x common factors =1 x 16 = 16

LCM(16,848,933) = ( 16 × 848 × 933 ) / 16

LCM(16,848,933) = 12658944 / 16

LCM(16,848,933) = 791184


Lets's calculate GCF of 240,450,692

2 240, 450, 692
120, 225, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 791184/2

Therefore the LCM of Fractions 16/240,848/450,933/692 is 395592

Greatest Common Factor of 240,450,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,450,692 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 240,450,692 . The biggest common factor number is the GCF number.
So the greatest common factor 240,450,692 is 2.


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 16/240, 848/450, 933/692

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 16/240, 848/450, 933/692?

Answer: LCM of Numerators as per given numbers 16/240, 848/450, 933/692 is

LCM of Numerators i.e. for 16,848,933 is 791184

GCF of denominators i.e. for 240,450,692 is 2.

Thus, LCM of Fractions is 395592.Finally, LCM of Fractions for 16/240, 848/450, 933/692 is 395592.