Least Common Multiple of 32/44, 80/610, 286/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/44, 80/610, 286/302 quickly i.e. 11440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/44, 80/610, 286/302 is 11440.

LCM(32/44, 80/610, 286/302) = 11440

LCM of 32/44, 80/610, 286/302

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 32/44,80/610,286/302

Given numbers are 32/44,80/610,286/302

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 32,80,286

Least Common Multiple of Numerators i.e. LCM of 32,80,286 is 22880.

GCF of Denominators means GCF of 44,610,302 as per the given fractions.

GCF of 44,610,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,80,286

LCM of Fractions 32/44,80/610,286/302 is 11440

2 32, 80, 286
2 16, 40, 143
2 8, 20, 143
2 4, 10, 143
2, 5, 143

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 143 = 22880

Least Common Multiple of 32,80,286 with GCF Formula

Least Common Multiple of 32,80,286 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 32,80,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,80,286) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(32,80,286) x common factors =2 x 16 = 32

LCM(32,80,286) = ( 32 × 80 × 286 ) / 32

LCM(32,80,286) = 732160 / 32

LCM(32,80,286) = 22880


Lets's calculate GCF of 44,610,302

2 44, 610, 302
22, 305, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22880/2

Therefore the LCM of Fractions 32/44,80/610,286/302 is 11440

Greatest Common Factor of 44,610,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,610,302 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 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 44,610,302 . The biggest common factor number is the GCF number.
So the greatest common factor 44,610,302 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 32/44, 80/610, 286/302

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 32/44, 80/610, 286/302?

Answer: LCM of Numerators as per given numbers 32/44, 80/610, 286/302 is

LCM of Numerators i.e. for 32,80,286 is 22880

GCF of denominators i.e. for 44,610,302 is 2.

Thus, LCM of Fractions is 11440.Finally, LCM of Fractions for 32/44, 80/610, 286/302 is 11440.