Least Common Multiple of 828/27, 722/8170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/27, 722/8170 quickly i.e. 298908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/27, 722/8170 is 298908.

LCM(828/27, 722/8170) = 298908

LCM of 828/27, 722/8170

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 828/27,722/8170

Given numbers are 828/27,722/8170

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 828,722

Least Common Multiple of Numerators i.e. LCM of 828,722 is 298908.

GCF of Denominators means GCF of 27,8170 as per the given fractions.

GCF of 27,8170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,722

LCM of Fractions 828/27,722/8170 is 298908

2 828, 722
414, 361

∴ So the LCM of the given numbers is 2 x 414 x 361 = 298908

Least Common Multiple of 828,722 with GCF Formula

Least Common Multiple of 828,722 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 828,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,722) = 2

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

GCF(828,722) x common factors =2 x 1 = 2

LCM(828,722) = ( 828 × 722 ) / 2

LCM(828,722) = 597816 / 2

LCM(828,722) = 298908


Lets's calculate GCF of 27,8170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298908/1

Therefore the LCM of Fractions 828/27,722/8170 is 298908

Greatest Common Factor of 27,8170 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,8170 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors 27,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 27,8170 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 828/27, 722/8170

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 828/27, 722/8170?

Answer: LCM of Numerators as per given numbers 828/27, 722/8170 is

LCM of Numerators i.e. for 828,722 is 298908

GCF of denominators i.e. for 27,8170 is 1.

Thus, LCM of Fractions is 298908.Finally, LCM of Fractions for 828/27, 722/8170 is 298908.