Least Common Multiple of 320/44, 418/32, 404/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/44, 418/32, 404/800 quickly i.e. 1688720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/44, 418/32, 404/800 is 1688720.

LCM(320/44, 418/32, 404/800) = 1688720

LCM of 320/44, 418/32, 404/800

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 320/44,418/32,404/800

Given numbers are 320/44,418/32,404/800

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 320,418,404

Least Common Multiple of Numerators i.e. LCM of 320,418,404 is 6754880.

GCF of Denominators means GCF of 44,32,800 as per the given fractions.

GCF of 44,32,800 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,418,404

LCM of Fractions 320/44,418/32,404/800 is 1688720

2 320, 418, 404
2 160, 209, 202
80, 209, 101

∴ So the LCM of the given numbers is 2 x 2 x 80 x 209 x 101 = 6754880

Least Common Multiple of 320,418,404 with GCF Formula

Least Common Multiple of 320,418,404 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 320,418,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,418,404) = 2

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

GCF(320,418,404) x common factors =2 x 4 = 8

LCM(320,418,404) = ( 320 × 418 × 404 ) / 8

LCM(320,418,404) = 54039040 / 8

LCM(320,418,404) = 6754880


Lets's calculate GCF of 44,32,800

2 44, 32, 800
2 22, 16, 400
11, 8, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6754880/4

Therefore the LCM of Fractions 320/44,418/32,404/800 is 1688720

Greatest Common Factor of 44,32,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,32,800 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 44,32,800 . The biggest common factor number is the GCF number.
So the greatest common factor 44,32,800 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 320/44, 418/32, 404/800

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 320/44, 418/32, 404/800?

Answer: LCM of Numerators as per given numbers 320/44, 418/32, 404/800 is

LCM of Numerators i.e. for 320,418,404 is 6754880

GCF of denominators i.e. for 44,32,800 is 4.

Thus, LCM of Fractions is 1688720.Finally, LCM of Fractions for 320/44, 418/32, 404/800 is 1688720.