Least Common Multiple of 83/486, 48/424, 588/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/486, 48/424, 588/575 quickly i.e. 195216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/486, 48/424, 588/575 is 195216.

LCM(83/486, 48/424, 588/575) = 195216

LCM of 83/486, 48/424, 588/575

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 83/486,48/424,588/575

Given numbers are 83/486,48/424,588/575

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 83,48,588

Least Common Multiple of Numerators i.e. LCM of 83,48,588 is 195216.

GCF of Denominators means GCF of 486,424,575 as per the given fractions.

GCF of 486,424,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,48,588

LCM of Fractions 83/486,48/424,588/575 is 195216

2 83, 48, 588
2 83, 24, 294
3 83, 12, 147
83, 4, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 4 x 49 = 195216

Least Common Multiple of 83,48,588 with GCF Formula

Least Common Multiple of 83,48,588 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 83,48,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,48,588) = 1

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

GCF(83,48,588) x common factors =1 x 12 = 12

LCM(83,48,588) = ( 83 × 48 × 588 ) / 12

LCM(83,48,588) = 2342592 / 12

LCM(83,48,588) = 195216


Lets's calculate GCF of 486,424,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195216/1

Therefore the LCM of Fractions 83/486,48/424,588/575 is 195216

Greatest Common Factor of 486,424,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,424,575 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 486,424,575 . The biggest common factor number is the GCF number.
So the greatest common factor 486,424,575 is 1.


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 83/486, 48/424, 588/575

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 83/486, 48/424, 588/575?

Answer: LCM of Numerators as per given numbers 83/486, 48/424, 588/575 is

LCM of Numerators i.e. for 83,48,588 is 195216

GCF of denominators i.e. for 486,424,575 is 1.

Thus, LCM of Fractions is 195216.Finally, LCM of Fractions for 83/486, 48/424, 588/575 is 195216.