Least Common Multiple of 86/84, 305/18, 828/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/84, 305/18, 828/984 quickly i.e. 1809870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/84, 305/18, 828/984 is 1809870.

LCM(86/84, 305/18, 828/984) = 1809870

LCM of 86/84, 305/18, 828/984

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 86/84,305/18,828/984

Given numbers are 86/84,305/18,828/984

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 86,305,828

Least Common Multiple of Numerators i.e. LCM of 86,305,828 is 10859220.

GCF of Denominators means GCF of 84,18,984 as per the given fractions.

GCF of 84,18,984 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,305,828

LCM of Fractions 86/84,305/18,828/984 is 1809870

2 86, 305, 828
43, 305, 414

∴ So the LCM of the given numbers is 2 x 43 x 305 x 414 = 10859220

Least Common Multiple of 86,305,828 with GCF Formula

Least Common Multiple of 86,305,828 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 86,305,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,305,828) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,305,828) x common factors =1 x 2 = 2

LCM(86,305,828) = ( 86 × 305 × 828 ) / 2

LCM(86,305,828) = 21718440 / 2

LCM(86,305,828) = 10859220


Lets's calculate GCF of 84,18,984

2 84, 18, 984
3 42, 9, 492
14, 3, 164

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10859220/6

Therefore the LCM of Fractions 86/84,305/18,828/984 is 1809870

Greatest Common Factor of 84,18,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,18,984 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 84,18,984 . The biggest common factor number is the GCF number.
So the greatest common factor 84,18,984 is 6.


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 86/84, 305/18, 828/984

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 86/84, 305/18, 828/984?

Answer: LCM of Numerators as per given numbers 86/84, 305/18, 828/984 is

LCM of Numerators i.e. for 86,305,828 is 10859220

GCF of denominators i.e. for 84,18,984 is 6.

Thus, LCM of Fractions is 1809870.Finally, LCM of Fractions for 86/84, 305/18, 828/984 is 1809870.