Least Common Multiple of 40/454, 90/800, 465/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/454, 90/800, 465/329 quickly i.e. 11160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/454, 90/800, 465/329 is 11160.

LCM(40/454, 90/800, 465/329) = 11160

LCM of 40/454, 90/800, 465/329

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 40/454,90/800,465/329

Given numbers are 40/454,90/800,465/329

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 40,90,465

Least Common Multiple of Numerators i.e. LCM of 40,90,465 is 11160.

GCF of Denominators means GCF of 454,800,329 as per the given fractions.

GCF of 454,800,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,90,465

LCM of Fractions 40/454,90/800,465/329 is 11160

2 40, 90, 465
3 20, 45, 465
5 20, 15, 155
4, 3, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 3 x 31 = 11160

Least Common Multiple of 40,90,465 with GCF Formula

Least Common Multiple of 40,90,465 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 40,90,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,90,465) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(40,90,465) x common factors =5 x 30 = 150

LCM(40,90,465) = ( 40 × 90 × 465 ) / 150

LCM(40,90,465) = 1674000 / 150

LCM(40,90,465) = 11160


Lets's calculate GCF of 454,800,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11160/1

Therefore the LCM of Fractions 40/454,90/800,465/329 is 11160

Greatest Common Factor of 454,800,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,800,329 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

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

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 454,800,329 . The biggest common factor number is the GCF number.
So the greatest common factor 454,800,329 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 40/454, 90/800, 465/329

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 40/454, 90/800, 465/329?

Answer: LCM of Numerators as per given numbers 40/454, 90/800, 465/329 is

LCM of Numerators i.e. for 40,90,465 is 11160

GCF of denominators i.e. for 454,800,329 is 1.

Thus, LCM of Fractions is 11160.Finally, LCM of Fractions for 40/454, 90/800, 465/329 is 11160.