Least Common Multiple of 182/84, 910/85, 585/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 182/84, 910/85, 585/605 quickly i.e. 8190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/84, 910/85, 585/605 is 8190.

LCM(182/84, 910/85, 585/605) = 8190

LCM of 182/84, 910/85, 585/605

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 182/84,910/85,585/605

Given numbers are 182/84,910/85,585/605

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 182,910,585

Least Common Multiple of Numerators i.e. LCM of 182,910,585 is 8190.

GCF of Denominators means GCF of 84,85,605 as per the given fractions.

GCF of 84,85,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,910,585

LCM of Fractions 182/84,910/85,585/605 is 8190

2 182, 910, 585
5 91, 455, 585
7 91, 91, 117
13 13, 13, 117
1, 1, 9

∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 1 x 1 x 9 = 8190

Least Common Multiple of 182,910,585 with GCF Formula

Least Common Multiple of 182,910,585 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 182,910,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,910,585) = 13

common factors(in case of two or more numbers have common factors) = 910

GCF(182,910,585) x common factors =13 x 910 = 11830

LCM(182,910,585) = ( 182 × 910 × 585 ) / 11830

LCM(182,910,585) = 96887700 / 11830

LCM(182,910,585) = 8190


Lets's calculate GCF of 84,85,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8190/1

Therefore the LCM of Fractions 182/84,910/85,585/605 is 8190

Greatest Common Factor of 84,85,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,85,605 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 84,85,605 . The biggest common factor number is the GCF number.
So the greatest common factor 84,85,605 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 182/84, 910/85, 585/605

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 182/84, 910/85, 585/605?

Answer: LCM of Numerators as per given numbers 182/84, 910/85, 585/605 is

LCM of Numerators i.e. for 182,910,585 is 8190

GCF of denominators i.e. for 84,85,605 is 1.

Thus, LCM of Fractions is 8190.Finally, LCM of Fractions for 182/84, 910/85, 585/605 is 8190.