Least Common Multiple of 349/579, 326/239, 332/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/579, 326/239, 332/748 quickly i.e. 18886484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/579, 326/239, 332/748 is 18886484.

LCM(349/579, 326/239, 332/748) = 18886484

LCM of 349/579, 326/239, 332/748

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 349/579,326/239,332/748

Given numbers are 349/579,326/239,332/748

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 349,326,332

Least Common Multiple of Numerators i.e. LCM of 349,326,332 is 18886484.

GCF of Denominators means GCF of 579,239,748 as per the given fractions.

GCF of 579,239,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,326,332

LCM of Fractions 349/579,326/239,332/748 is 18886484

2 349, 326, 332
349, 163, 166

∴ So the LCM of the given numbers is 2 x 349 x 163 x 166 = 18886484

Least Common Multiple of 349,326,332 with GCF Formula

Least Common Multiple of 349,326,332 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 349,326,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,326,332) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(349,326,332) x common factors =1 x 2 = 2

LCM(349,326,332) = ( 349 × 326 × 332 ) / 2

LCM(349,326,332) = 37772968 / 2

LCM(349,326,332) = 18886484


Lets's calculate GCF of 579,239,748

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18886484/1

Therefore the LCM of Fractions 349/579,326/239,332/748 is 18886484

Greatest Common Factor of 579,239,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,239,748 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 579,239,748 . The biggest common factor number is the GCF number.
So the greatest common factor 579,239,748 is 1.


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 349/579, 326/239, 332/748

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 349/579, 326/239, 332/748?

Answer: LCM of Numerators as per given numbers 349/579, 326/239, 332/748 is

LCM of Numerators i.e. for 349,326,332 is 18886484

GCF of denominators i.e. for 579,239,748 is 1.

Thus, LCM of Fractions is 18886484.Finally, LCM of Fractions for 349/579, 326/239, 332/748 is 18886484.