Least Common Multiple of 74/608, 19/298, 532/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/608, 19/298, 532/990 quickly i.e. 9842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/608, 19/298, 532/990 is 9842.

LCM(74/608, 19/298, 532/990) = 9842

LCM of 74/608, 19/298, 532/990

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 74/608,19/298,532/990

Given numbers are 74/608,19/298,532/990

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 74,19,532

Least Common Multiple of Numerators i.e. LCM of 74,19,532 is 19684.

GCF of Denominators means GCF of 608,298,990 as per the given fractions.

GCF of 608,298,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,19,532

LCM of Fractions 74/608,19/298,532/990 is 9842

2 74, 19, 532
19 37, 19, 266
37, 1, 14

∴ So the LCM of the given numbers is 2 x 19 x 37 x 1 x 14 = 19684

Least Common Multiple of 74,19,532 with GCF Formula

Least Common Multiple of 74,19,532 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 74,19,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,19,532) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(74,19,532) x common factors =1 x 38 = 38

LCM(74,19,532) = ( 74 × 19 × 532 ) / 38

LCM(74,19,532) = 747992 / 38

LCM(74,19,532) = 19684


Lets's calculate GCF of 608,298,990

2 608, 298, 990
304, 149, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19684/2

Therefore the LCM of Fractions 74/608,19/298,532/990 is 9842

Greatest Common Factor of 608,298,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,298,990 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 608,298,990 . The biggest common factor number is the GCF number.
So the greatest common factor 608,298,990 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 74/608, 19/298, 532/990

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 74/608, 19/298, 532/990?

Answer: LCM of Numerators as per given numbers 74/608, 19/298, 532/990 is

LCM of Numerators i.e. for 74,19,532 is 19684

GCF of denominators i.e. for 608,298,990 is 2.

Thus, LCM of Fractions is 9842.Finally, LCM of Fractions for 74/608, 19/298, 532/990 is 9842.