Least Common Multiple of 43/65, 62/11, 880/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/65, 62/11, 880/585 quickly i.e. 1173040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/65, 62/11, 880/585 is 1173040.

LCM(43/65, 62/11, 880/585) = 1173040

LCM of 43/65, 62/11, 880/585

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 43/65,62/11,880/585

Given numbers are 43/65,62/11,880/585

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 43,62,880

Least Common Multiple of Numerators i.e. LCM of 43,62,880 is 1173040.

GCF of Denominators means GCF of 65,11,585 as per the given fractions.

GCF of 65,11,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,62,880

LCM of Fractions 43/65,62/11,880/585 is 1173040

2 43, 62, 880
43, 31, 440

∴ So the LCM of the given numbers is 2 x 43 x 31 x 440 = 1173040

Least Common Multiple of 43,62,880 with GCF Formula

Least Common Multiple of 43,62,880 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 43,62,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,62,880) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,62,880) x common factors =1 x 2 = 2

LCM(43,62,880) = ( 43 × 62 × 880 ) / 2

LCM(43,62,880) = 2346080 / 2

LCM(43,62,880) = 1173040


Lets's calculate GCF of 65,11,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1173040/1

Therefore the LCM of Fractions 43/65,62/11,880/585 is 1173040

Greatest Common Factor of 65,11,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,11,585 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 65,11,585 . The biggest common factor number is the GCF number.
So the greatest common factor 65,11,585 is 1.


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 43/65, 62/11, 880/585

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 43/65, 62/11, 880/585?

Answer: LCM of Numerators as per given numbers 43/65, 62/11, 880/585 is

LCM of Numerators i.e. for 43,62,880 is 1173040

GCF of denominators i.e. for 65,11,585 is 1.

Thus, LCM of Fractions is 1173040.Finally, LCM of Fractions for 43/65, 62/11, 880/585 is 1173040.