Least Common Multiple of 40/320, 8880/4545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/320, 8880/4545 quickly i.e. 1776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/320, 8880/4545 is 1776.

LCM(40/320, 8880/4545) = 1776

LCM of 40/320, 8880/4545

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 40/320,8880/4545

Given numbers are 40/320,8880/4545

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 40,8880

Least Common Multiple of Numerators i.e. LCM of 40,8880 is 8880.

GCF of Denominators means GCF of 320,4545 as per the given fractions.

GCF of 320,4545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,8880

LCM of Fractions 40/320,8880/4545 is 1776

2 40, 8880
2 20, 4440
2 10, 2220
5 5, 1110
1, 222

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 222 = 8880

Least Common Multiple of 40,8880 with GCF Formula

Least Common Multiple of 40,8880 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 40,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,8880) = 40

common factors(in case of two or more numbers have common factors) = 1

GCF(40,8880) x common factors =40 x 1 = 40

LCM(40,8880) = ( 40 × 8880 ) / 40

LCM(40,8880) = 355200 / 40

LCM(40,8880) = 8880


Lets's calculate GCF of 320,4545

5 320, 4545
64, 909

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8880/5

Therefore the LCM of Fractions 40/320,8880/4545 is 1776

Greatest Common Factor of 320,4545 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,4545 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 4545

List of positive integer factors of 4545 that divides 4545 without a remainder.

1,3,5,9,15,45,101,303,505,909,1515,4545

Greatest Common Factor

We found the factors 320,4545 . The biggest common factor number is the GCF number.
So the greatest common factor 320,4545 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/320, 8880/4545

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 40/320, 8880/4545?

Answer: LCM of Numerators as per given numbers 40/320, 8880/4545 is

LCM of Numerators i.e. for 40,8880 is 8880

GCF of denominators i.e. for 320,4545 is 5.

Thus, LCM of Fractions is 1776.Finally, LCM of Fractions for 40/320, 8880/4545 is 1776.