Least Common Multiple of 694/44, 306/18, 196/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 694/44, 306/18, 196/384 quickly i.e. 5202918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/44, 306/18, 196/384 is 5202918.

LCM(694/44, 306/18, 196/384) = 5202918

LCM of 694/44, 306/18, 196/384

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 694/44,306/18,196/384

Given numbers are 694/44,306/18,196/384

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 694,306,196

Least Common Multiple of Numerators i.e. LCM of 694,306,196 is 10405836.

GCF of Denominators means GCF of 44,18,384 as per the given fractions.

GCF of 44,18,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,306,196

LCM of Fractions 694/44,306/18,196/384 is 5202918

2 694, 306, 196
347, 153, 98

∴ So the LCM of the given numbers is 2 x 347 x 153 x 98 = 10405836

Least Common Multiple of 694,306,196 with GCF Formula

Least Common Multiple of 694,306,196 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 694,306,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,306,196) = 2

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

GCF(694,306,196) x common factors =2 x 2 = 4

LCM(694,306,196) = ( 694 × 306 × 196 ) / 4

LCM(694,306,196) = 41623344 / 4

LCM(694,306,196) = 10405836


Lets's calculate GCF of 44,18,384

2 44, 18, 384
22, 9, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10405836/2

Therefore the LCM of Fractions 694/44,306/18,196/384 is 5202918

Greatest Common Factor of 44,18,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,18,384 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 44,18,384 . The biggest common factor number is the GCF number.
So the greatest common factor 44,18,384 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 694/44, 306/18, 196/384

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 694/44, 306/18, 196/384?

Answer: LCM of Numerators as per given numbers 694/44, 306/18, 196/384 is

LCM of Numerators i.e. for 694,306,196 is 10405836

GCF of denominators i.e. for 44,18,384 is 2.

Thus, LCM of Fractions is 5202918.Finally, LCM of Fractions for 694/44, 306/18, 196/384 is 5202918.