Least Common Multiple of 33/450, 532/744, 944/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/450, 532/744, 944/379 quickly i.e. 4143216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/450, 532/744, 944/379 is 4143216.

LCM(33/450, 532/744, 944/379) = 4143216

LCM of 33/450, 532/744, 944/379

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 33/450,532/744,944/379

Given numbers are 33/450,532/744,944/379

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 33,532,944

Least Common Multiple of Numerators i.e. LCM of 33,532,944 is 4143216.

GCF of Denominators means GCF of 450,744,379 as per the given fractions.

GCF of 450,744,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,532,944

LCM of Fractions 33/450,532/744,944/379 is 4143216

2 33, 532, 944
2 33, 266, 472
33, 133, 236

∴ So the LCM of the given numbers is 2 x 2 x 33 x 133 x 236 = 4143216

Least Common Multiple of 33,532,944 with GCF Formula

Least Common Multiple of 33,532,944 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 33,532,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,532,944) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(33,532,944) x common factors =1 x 4 = 4

LCM(33,532,944) = ( 33 × 532 × 944 ) / 4

LCM(33,532,944) = 16572864 / 4

LCM(33,532,944) = 4143216


Lets's calculate GCF of 450,744,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4143216/1

Therefore the LCM of Fractions 33/450,532/744,944/379 is 4143216

Greatest Common Factor of 450,744,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,744,379 By Matching Biggest Common Factor Method

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 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 450,744,379 . The biggest common factor number is the GCF number.
So the greatest common factor 450,744,379 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 33/450, 532/744, 944/379

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 33/450, 532/744, 944/379?

Answer: LCM of Numerators as per given numbers 33/450, 532/744, 944/379 is

LCM of Numerators i.e. for 33,532,944 is 4143216

GCF of denominators i.e. for 450,744,379 is 1.

Thus, LCM of Fractions is 4143216.Finally, LCM of Fractions for 33/450, 532/744, 944/379 is 4143216.