Least Common Multiple of 99/58, 25/10, 96/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/58, 25/10, 96/898 quickly i.e. 39600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/58, 25/10, 96/898 is 39600.

LCM(99/58, 25/10, 96/898) = 39600

LCM of 99/58, 25/10, 96/898

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 99/58,25/10,96/898

Given numbers are 99/58,25/10,96/898

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 99,25,96

Least Common Multiple of Numerators i.e. LCM of 99,25,96 is 79200.

GCF of Denominators means GCF of 58,10,898 as per the given fractions.

GCF of 58,10,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,25,96

LCM of Fractions 99/58,25/10,96/898 is 39600

3 99, 25, 96
33, 25, 32

∴ So the LCM of the given numbers is 3 x 33 x 25 x 32 = 79200

Least Common Multiple of 99,25,96 with GCF Formula

Least Common Multiple of 99,25,96 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 99,25,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,25,96) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,25,96) x common factors =1 x 3 = 3

LCM(99,25,96) = ( 99 × 25 × 96 ) / 3

LCM(99,25,96) = 237600 / 3

LCM(99,25,96) = 79200


Lets's calculate GCF of 58,10,898

2 58, 10, 898
29, 5, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79200/2

Therefore the LCM of Fractions 99/58,25/10,96/898 is 39600

Greatest Common Factor of 58,10,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,10,898 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 58,10,898 . The biggest common factor number is the GCF number.
So the greatest common factor 58,10,898 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/58, 25/10, 96/898

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 99/58, 25/10, 96/898?

Answer: LCM of Numerators as per given numbers 99/58, 25/10, 96/898 is

LCM of Numerators i.e. for 99,25,96 is 79200

GCF of denominators i.e. for 58,10,898 is 2.

Thus, LCM of Fractions is 39600.Finally, LCM of Fractions for 99/58, 25/10, 96/898 is 39600.