Least Common Multiple of 329/222, 9576/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/222, 9576/358 quickly i.e. 225036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/222, 9576/358 is 225036.

LCM(329/222, 9576/358) = 225036

LCM of 329/222, 9576/358

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 329/222,9576/358

Given numbers are 329/222,9576/358

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 329,9576

Least Common Multiple of Numerators i.e. LCM of 329,9576 is 450072.

GCF of Denominators means GCF of 222,358 as per the given fractions.

GCF of 222,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,9576

LCM of Fractions 329/222,9576/358 is 225036

7 329, 9576
47, 1368

∴ So the LCM of the given numbers is 7 x 47 x 1368 = 450072

Least Common Multiple of 329,9576 with GCF Formula

Least Common Multiple of 329,9576 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 329,9576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,9576) = 7

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

GCF(329,9576) x common factors =7 x 1 = 7

LCM(329,9576) = ( 329 × 9576 ) / 7

LCM(329,9576) = 3150504 / 7

LCM(329,9576) = 450072


Lets's calculate GCF of 222,358

2 222, 358
111, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450072/2

Therefore the LCM of Fractions 329/222,9576/358 is 225036

Greatest Common Factor of 222,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,358 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 222,358 . The biggest common factor number is the GCF number.
So the greatest common factor 222,358 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 329/222, 9576/358

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 329/222, 9576/358?

Answer: LCM of Numerators as per given numbers 329/222, 9576/358 is

LCM of Numerators i.e. for 329,9576 is 450072

GCF of denominators i.e. for 222,358 is 2.

Thus, LCM of Fractions is 225036.Finally, LCM of Fractions for 329/222, 9576/358 is 225036.