Least Common Multiple of 82/32, 18/50, 83/40, 48/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/32, 18/50, 83/40, 48/490 quickly i.e. 245016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/32, 18/50, 83/40, 48/490 is 245016.

LCM(82/32, 18/50, 83/40, 48/490) = 245016

LCM of 82/32, 18/50, 83/40, 48/490

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 82/32,18/50,83/40,48/490

Given numbers are 82/32,18/50,83/40,48/490

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 82,18,83,48

Least Common Multiple of Numerators i.e. LCM of 82,18,83,48 is 490032.

GCF of Denominators means GCF of 32,50,40,490 as per the given fractions.

GCF of 32,50,40,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,18,83,48

LCM of Fractions 82/32,18/50,83/40,48/490 is 245016

2 82, 18, 83, 48
3 41, 9, 83, 24
41, 3, 83, 8

∴ So the LCM of the given numbers is 2 x 3 x 41 x 3 x 83 x 8 = 490032

Least Common Multiple of 82,18,83,48 with GCF Formula

Least Common Multiple of 82,18,83,48 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 82,18,83,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,18,83,48) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(82,18,83,48) x common factors =1 x 12 = 12

LCM(82,18,83,48) = ( 82 × 18 × 83 × 48 ) / 12

LCM(82,18,83,48) = 5880384 / 12

LCM(82,18,83,48) = 490032


Lets's calculate GCF of 32,50,40,490

2 32, 50, 40, 490
16, 25, 20, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490032/2

Therefore the LCM of Fractions 82/32,18/50,83/40,48/490 is 245016

Greatest Common Factor of 32,50,40,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,50,40,490 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 32,50,40,490 . The biggest common factor number is the GCF number.
So the greatest common factor 32,50,40,490 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 82/32, 18/50, 83/40, 48/490

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 82/32, 18/50, 83/40, 48/490?

Answer: LCM of Numerators as per given numbers 82/32, 18/50, 83/40, 48/490 is

LCM of Numerators i.e. for 82,18,83,48 is 490032

GCF of denominators i.e. for 32,50,40,490 is 2.

Thus, LCM of Fractions is 245016.Finally, LCM of Fractions for 82/32, 18/50, 83/40, 48/490 is 245016.