Least Common Multiple of 170/382, 3856/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/382, 3856/724 quickly i.e. 163880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/382, 3856/724 is 163880.

LCM(170/382, 3856/724) = 163880

LCM of 170/382, 3856/724

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 170/382,3856/724

Given numbers are 170/382,3856/724

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 170,3856

Least Common Multiple of Numerators i.e. LCM of 170,3856 is 327760.

GCF of Denominators means GCF of 382,724 as per the given fractions.

GCF of 382,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,3856

LCM of Fractions 170/382,3856/724 is 163880

2 170, 3856
85, 1928

∴ So the LCM of the given numbers is 2 x 85 x 1928 = 327760

Least Common Multiple of 170,3856 with GCF Formula

Least Common Multiple of 170,3856 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 170,3856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,3856) = 2

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

GCF(170,3856) x common factors =2 x 1 = 2

LCM(170,3856) = ( 170 × 3856 ) / 2

LCM(170,3856) = 655520 / 2

LCM(170,3856) = 327760


Lets's calculate GCF of 382,724

2 382, 724
191, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327760/2

Therefore the LCM of Fractions 170/382,3856/724 is 163880

Greatest Common Factor of 382,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,724 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 382,724 . The biggest common factor number is the GCF number.
So the greatest common factor 382,724 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 170/382, 3856/724

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 170/382, 3856/724?

Answer: LCM of Numerators as per given numbers 170/382, 3856/724 is

LCM of Numerators i.e. for 170,3856 is 327760

GCF of denominators i.e. for 382,724 is 2.

Thus, LCM of Fractions is 163880.Finally, LCM of Fractions for 170/382, 3856/724 is 163880.