Least Common Multiple of 18/828, 4721/7086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/828, 4721/7086 quickly i.e. 14163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/828, 4721/7086 is 14163.

LCM(18/828, 4721/7086) = 14163

LCM of 18/828, 4721/7086

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 18/828,4721/7086

Given numbers are 18/828,4721/7086

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 18,4721

Least Common Multiple of Numerators i.e. LCM of 18,4721 is 84978.

GCF of Denominators means GCF of 828,7086 as per the given fractions.

GCF of 828,7086 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,4721

LCM of Fractions 18/828,4721/7086 is 14163

Given numbers has no common factors except 1. So, there LCM is their product i.e 84978

Least Common Multiple of 18,4721 with GCF Formula

Least Common Multiple of 18,4721 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 18,4721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,4721) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(18,4721) x common factors =1 x 1 = 1

LCM(18,4721) = ( 18 × 4721 ) / 1

LCM(18,4721) = 84978 / 1

LCM(18,4721) = 84978


Lets's calculate GCF of 828,7086

2 828, 7086
3 414, 3543
138, 1181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84978/6

Therefore the LCM of Fractions 18/828,4721/7086 is 14163

Greatest Common Factor of 828,7086 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,7086 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 7086

List of positive integer factors of 7086 that divides 7086 without a remainder.

1,2,3,6,1181,2362,3543,7086

Greatest Common Factor

We found the factors 828,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 828,7086 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 18/828, 4721/7086

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 18/828, 4721/7086?

Answer: LCM of Numerators as per given numbers 18/828, 4721/7086 is

LCM of Numerators i.e. for 18,4721 is 84978

GCF of denominators i.e. for 828,7086 is 6.

Thus, LCM of Fractions is 14163.Finally, LCM of Fractions for 18/828, 4721/7086 is 14163.