Least Common Multiple of 68/285, 19/886, 132/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/285, 19/886, 132/982 quickly i.e. 42636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/285, 19/886, 132/982 is 42636.

LCM(68/285, 19/886, 132/982) = 42636

LCM of 68/285, 19/886, 132/982

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 68/285,19/886,132/982

Given numbers are 68/285,19/886,132/982

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 68,19,132

Least Common Multiple of Numerators i.e. LCM of 68,19,132 is 42636.

GCF of Denominators means GCF of 285,886,982 as per the given fractions.

GCF of 285,886,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,19,132

LCM of Fractions 68/285,19/886,132/982 is 42636

2 68, 19, 132
2 34, 19, 66
17, 19, 33

∴ So the LCM of the given numbers is 2 x 2 x 17 x 19 x 33 = 42636

Least Common Multiple of 68,19,132 with GCF Formula

Least Common Multiple of 68,19,132 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 68,19,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,19,132) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,19,132) x common factors =1 x 4 = 4

LCM(68,19,132) = ( 68 × 19 × 132 ) / 4

LCM(68,19,132) = 170544 / 4

LCM(68,19,132) = 42636


Lets's calculate GCF of 285,886,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42636/1

Therefore the LCM of Fractions 68/285,19/886,132/982 is 42636

Greatest Common Factor of 285,886,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,886,982 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 285,886,982 . The biggest common factor number is the GCF number.
So the greatest common factor 285,886,982 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 68/285, 19/886, 132/982

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 68/285, 19/886, 132/982?

Answer: LCM of Numerators as per given numbers 68/285, 19/886, 132/982 is

LCM of Numerators i.e. for 68,19,132 is 42636

GCF of denominators i.e. for 285,886,982 is 1.

Thus, LCM of Fractions is 42636.Finally, LCM of Fractions for 68/285, 19/886, 132/982 is 42636.