Least Common Multiple of 828/385, 8718/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/385, 8718/363 quickly i.e. 1203084/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/385, 8718/363 is 1203084/11.

LCM(828/385, 8718/363) = 1203084/11

LCM of 828/385, 8718/363

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 828/385,8718/363

Given numbers are 828/385,8718/363

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 828,8718

Least Common Multiple of Numerators i.e. LCM of 828,8718 is 1203084.

GCF of Denominators means GCF of 385,363 as per the given fractions.

GCF of 385,363 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,8718

LCM of Fractions 828/385,8718/363 is 1203084/11

2 828, 8718
3 414, 4359
138, 1453

∴ So the LCM of the given numbers is 2 x 3 x 138 x 1453 = 1203084

Least Common Multiple of 828,8718 with GCF Formula

Least Common Multiple of 828,8718 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 828,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,8718) = 6

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

GCF(828,8718) x common factors =6 x 1 = 6

LCM(828,8718) = ( 828 × 8718 ) / 6

LCM(828,8718) = 7218504 / 6

LCM(828,8718) = 1203084


Lets's calculate GCF of 385,363

11 385, 363
35, 33

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1203084/11

Therefore the LCM of Fractions 828/385,8718/363 is 1203084/11

Greatest Common Factor of 385,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,363 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 385,363 . The biggest common factor number is the GCF number.
So the greatest common factor 385,363 is 11.


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 828/385, 8718/363

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 828/385, 8718/363?

Answer: LCM of Numerators as per given numbers 828/385, 8718/363 is

LCM of Numerators i.e. for 828,8718 is 1203084

GCF of denominators i.e. for 385,363 is 11.

Thus, LCM of Fractions is 1203084/11.Finally, LCM of Fractions for 828/385, 8718/363 is 1203084/11.