Least Common Multiple of 9176/238, 3449/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9176/238, 3449/664 quickly i.e. 15824012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9176/238, 3449/664 is 15824012.

LCM(9176/238, 3449/664) = 15824012

LCM of 9176/238, 3449/664

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 9176/238,3449/664

Given numbers are 9176/238,3449/664

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 9176,3449

Least Common Multiple of Numerators i.e. LCM of 9176,3449 is 31648024.

GCF of Denominators means GCF of 238,664 as per the given fractions.

GCF of 238,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9176,3449

LCM of Fractions 9176/238,3449/664 is 15824012

Given numbers has no common factors except 1. So, there LCM is their product i.e 31648024

Least Common Multiple of 9176,3449 with GCF Formula

Least Common Multiple of 9176,3449 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 9176,3449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9176,3449) = 1

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

GCF(9176,3449) x common factors =1 x 1 = 1

LCM(9176,3449) = ( 9176 × 3449 ) / 1

LCM(9176,3449) = 31648024 / 1

LCM(9176,3449) = 31648024


Lets's calculate GCF of 238,664

2 238, 664
119, 332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31648024/2

Therefore the LCM of Fractions 9176/238,3449/664 is 15824012

Greatest Common Factor of 238,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,664 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 238,664 . The biggest common factor number is the GCF number.
So the greatest common factor 238,664 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9176/238, 3449/664

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 9176/238, 3449/664?

Answer: LCM of Numerators as per given numbers 9176/238, 3449/664 is

LCM of Numerators i.e. for 9176,3449 is 31648024

GCF of denominators i.e. for 238,664 is 2.

Thus, LCM of Fractions is 15824012.Finally, LCM of Fractions for 9176/238, 3449/664 is 15824012.