Least Common Multiple of 98/28, 36/96, 99/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/28, 36/96, 99/732 quickly i.e. 4851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/28, 36/96, 99/732 is 4851.

LCM(98/28, 36/96, 99/732) = 4851

LCM of 98/28, 36/96, 99/732

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 98/28,36/96,99/732

Given numbers are 98/28,36/96,99/732

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 98,36,99

Least Common Multiple of Numerators i.e. LCM of 98,36,99 is 19404.

GCF of Denominators means GCF of 28,96,732 as per the given fractions.

GCF of 28,96,732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,36,99

LCM of Fractions 98/28,36/96,99/732 is 4851

2 98, 36, 99
3 49, 18, 99
3 49, 6, 33
49, 2, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 2 x 11 = 19404

Least Common Multiple of 98,36,99 with GCF Formula

Least Common Multiple of 98,36,99 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 98,36,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,36,99) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(98,36,99) x common factors =1 x 18 = 18

LCM(98,36,99) = ( 98 × 36 × 99 ) / 18

LCM(98,36,99) = 349272 / 18

LCM(98,36,99) = 19404


Lets's calculate GCF of 28,96,732

2 28, 96, 732
2 14, 48, 366
7, 24, 183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19404/4

Therefore the LCM of Fractions 98/28,36/96,99/732 is 4851

Greatest Common Factor of 28,96,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,96,732 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 28,96,732 . The biggest common factor number is the GCF number.
So the greatest common factor 28,96,732 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 98/28, 36/96, 99/732

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 98/28, 36/96, 99/732?

Answer: LCM of Numerators as per given numbers 98/28, 36/96, 99/732 is

LCM of Numerators i.e. for 98,36,99 is 19404

GCF of denominators i.e. for 28,96,732 is 4.

Thus, LCM of Fractions is 4851.Finally, LCM of Fractions for 98/28, 36/96, 99/732 is 4851.