Least Common Multiple of 19/998, 84/984, 532/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/998, 84/984, 532/998 quickly i.e. 798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/998, 84/984, 532/998 is 798.

LCM(19/998, 84/984, 532/998) = 798

LCM of 19/998, 84/984, 532/998

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 19/998,84/984,532/998

Given numbers are 19/998,84/984,532/998

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 19,84,532

Least Common Multiple of Numerators i.e. LCM of 19,84,532 is 1596.

GCF of Denominators means GCF of 998,984,998 as per the given fractions.

GCF of 998,984,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,84,532

LCM of Fractions 19/998,84/984,532/998 is 798

2 19, 84, 532
2 19, 42, 266
7 19, 21, 133
19 19, 3, 19
1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 1 x 3 x 1 = 1596

Least Common Multiple of 19,84,532 with GCF Formula

Least Common Multiple of 19,84,532 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 19,84,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,84,532) = 1

common factors(in case of two or more numbers have common factors) = 532

GCF(19,84,532) x common factors =1 x 532 = 532

LCM(19,84,532) = ( 19 × 84 × 532 ) / 532

LCM(19,84,532) = 849072 / 532

LCM(19,84,532) = 1596


Lets's calculate GCF of 998,984,998

2 998, 984, 998
499, 492, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596/2

Therefore the LCM of Fractions 19/998,84/984,532/998 is 798

Greatest Common Factor of 998,984,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,984,998 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 998,984,998 . The biggest common factor number is the GCF number.
So the greatest common factor 998,984,998 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/998, 84/984, 532/998

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 19/998, 84/984, 532/998?

Answer: LCM of Numerators as per given numbers 19/998, 84/984, 532/998 is

LCM of Numerators i.e. for 19,84,532 is 1596

GCF of denominators i.e. for 998,984,998 is 2.

Thus, LCM of Fractions is 798.Finally, LCM of Fractions for 19/998, 84/984, 532/998 is 798.