Least Common Multiple of 384/176, 6922/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/176, 6922/506 quickly i.e. 1329024/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/176, 6922/506 is 1329024/22.

LCM(384/176, 6922/506) = 1329024/22

LCM of 384/176, 6922/506

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 384/176,6922/506

Given numbers are 384/176,6922/506

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 384,6922

Least Common Multiple of Numerators i.e. LCM of 384,6922 is 1329024.

GCF of Denominators means GCF of 176,506 as per the given fractions.

GCF of 176,506 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,6922

LCM of Fractions 384/176,6922/506 is 1329024/22

2 384, 6922
192, 3461

∴ So the LCM of the given numbers is 2 x 192 x 3461 = 1329024

Least Common Multiple of 384,6922 with GCF Formula

Least Common Multiple of 384,6922 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 384,6922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,6922) = 2

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

GCF(384,6922) x common factors =2 x 1 = 2

LCM(384,6922) = ( 384 × 6922 ) / 2

LCM(384,6922) = 2658048 / 2

LCM(384,6922) = 1329024


Lets's calculate GCF of 176,506

2 176, 506
11 88, 253
8, 23

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1329024/22

Therefore the LCM of Fractions 384/176,6922/506 is 1329024/22

Greatest Common Factor of 176,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,506 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 176,506 . The biggest common factor number is the GCF number.
So the greatest common factor 176,506 is 22.


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 384/176, 6922/506

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 384/176, 6922/506?

Answer: LCM of Numerators as per given numbers 384/176, 6922/506 is

LCM of Numerators i.e. for 384,6922 is 1329024

GCF of denominators i.e. for 176,506 is 22.

Thus, LCM of Fractions is 1329024/22.Finally, LCM of Fractions for 384/176, 6922/506 is 1329024/22.