Least Common Multiple of 320/66, 560/4178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/66, 560/4178 quickly i.e. 1120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/66, 560/4178 is 1120.

LCM(320/66, 560/4178) = 1120

LCM of 320/66, 560/4178

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 320/66,560/4178

Given numbers are 320/66,560/4178

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 320,560

Least Common Multiple of Numerators i.e. LCM of 320,560 is 2240.

GCF of Denominators means GCF of 66,4178 as per the given fractions.

GCF of 66,4178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,560

LCM of Fractions 320/66,560/4178 is 1120

2 320, 560
2 160, 280
2 80, 140
2 40, 70
5 20, 35
4, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 4 x 7 = 2240

Least Common Multiple of 320,560 with GCF Formula

Least Common Multiple of 320,560 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 320,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,560) = 80

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

GCF(320,560) x common factors =80 x 1 = 80

LCM(320,560) = ( 320 × 560 ) / 80

LCM(320,560) = 179200 / 80

LCM(320,560) = 2240


Lets's calculate GCF of 66,4178

2 66, 4178
33, 2089

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2240/2

Therefore the LCM of Fractions 320/66,560/4178 is 1120

Greatest Common Factor of 66,4178 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,4178 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 4178

List of positive integer factors of 4178 that divides 4178 without a remainder.

1,2,2089,4178

Greatest Common Factor

We found the factors 66,4178 . The biggest common factor number is the GCF number.
So the greatest common factor 66,4178 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 320/66, 560/4178

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 320/66, 560/4178?

Answer: LCM of Numerators as per given numbers 320/66, 560/4178 is

LCM of Numerators i.e. for 320,560 is 2240

GCF of denominators i.e. for 66,4178 is 2.

Thus, LCM of Fractions is 1120.Finally, LCM of Fractions for 320/66, 560/4178 is 1120.