Least Common Multiple of 506/94, 288/6822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/94, 288/6822 quickly i.e. 36432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/94, 288/6822 is 36432.

LCM(506/94, 288/6822) = 36432

LCM of 506/94, 288/6822

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 506/94,288/6822

Given numbers are 506/94,288/6822

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 506,288

Least Common Multiple of Numerators i.e. LCM of 506,288 is 72864.

GCF of Denominators means GCF of 94,6822 as per the given fractions.

GCF of 94,6822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,288

LCM of Fractions 506/94,288/6822 is 36432

2 506, 288
253, 144

∴ So the LCM of the given numbers is 2 x 253 x 144 = 72864

Least Common Multiple of 506,288 with GCF Formula

Least Common Multiple of 506,288 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 506,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,288) = 2

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

GCF(506,288) x common factors =2 x 1 = 2

LCM(506,288) = ( 506 × 288 ) / 2

LCM(506,288) = 145728 / 2

LCM(506,288) = 72864


Lets's calculate GCF of 94,6822

2 94, 6822
47, 3411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72864/2

Therefore the LCM of Fractions 506/94,288/6822 is 36432

Greatest Common Factor of 94,6822 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,6822 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Greatest Common Factor

We found the factors 94,6822 . The biggest common factor number is the GCF number.
So the greatest common factor 94,6822 is 2.


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 506/94, 288/6822

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 506/94, 288/6822?

Answer: LCM of Numerators as per given numbers 506/94, 288/6822 is

LCM of Numerators i.e. for 506,288 is 72864

GCF of denominators i.e. for 94,6822 is 2.

Thus, LCM of Fractions is 36432.Finally, LCM of Fractions for 506/94, 288/6822 is 36432.