Least Common Multiple of 30/664, 41/792, 638/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/664, 41/792, 638/356 quickly i.e. 392370/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/664, 41/792, 638/356 is 392370/4.

LCM(30/664, 41/792, 638/356) = 392370/4

LCM of 30/664, 41/792, 638/356

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 30/664,41/792,638/356

Given numbers are 30/664,41/792,638/356

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 30,41,638

Least Common Multiple of Numerators i.e. LCM of 30,41,638 is 392370.

GCF of Denominators means GCF of 664,792,356 as per the given fractions.

GCF of 664,792,356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,41,638

LCM of Fractions 30/664,41/792,638/356 is 392370/4

2 30, 41, 638
15, 41, 319

∴ So the LCM of the given numbers is 2 x 15 x 41 x 319 = 392370

Least Common Multiple of 30,41,638 with GCF Formula

Least Common Multiple of 30,41,638 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 30,41,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,41,638) = 1

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

GCF(30,41,638) x common factors =1 x 2 = 2

LCM(30,41,638) = ( 30 × 41 × 638 ) / 2

LCM(30,41,638) = 784740 / 2

LCM(30,41,638) = 392370


Lets's calculate GCF of 664,792,356

2 664, 792, 356
2 332, 396, 178
166, 198, 89

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392370/4

Therefore the LCM of Fractions 30/664,41/792,638/356 is 392370/4

Greatest Common Factor of 664,792,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,792,356 By Matching Biggest Common Factor Method

Factors of 664

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

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

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 664,792,356 . The biggest common factor number is the GCF number.
So the greatest common factor 664,792,356 is 4.


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 30/664, 41/792, 638/356

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 30/664, 41/792, 638/356?

Answer: LCM of Numerators as per given numbers 30/664, 41/792, 638/356 is

LCM of Numerators i.e. for 30,41,638 is 392370

GCF of denominators i.e. for 664,792,356 is 4.

Thus, LCM of Fractions is 392370/4.Finally, LCM of Fractions for 30/664, 41/792, 638/356 is 392370/4.