Least Common Multiple of 73/65, 332/24, 724/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/65, 332/24, 724/998 quickly i.e. 4386716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/65, 332/24, 724/998 is 4386716.

LCM(73/65, 332/24, 724/998) = 4386716

LCM of 73/65, 332/24, 724/998

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 73/65,332/24,724/998

Given numbers are 73/65,332/24,724/998

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 73,332,724

Least Common Multiple of Numerators i.e. LCM of 73,332,724 is 4386716.

GCF of Denominators means GCF of 65,24,998 as per the given fractions.

GCF of 65,24,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,332,724

LCM of Fractions 73/65,332/24,724/998 is 4386716

2 73, 332, 724
2 73, 166, 362
73, 83, 181

∴ So the LCM of the given numbers is 2 x 2 x 73 x 83 x 181 = 4386716

Least Common Multiple of 73,332,724 with GCF Formula

Least Common Multiple of 73,332,724 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 73,332,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,332,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(73,332,724) x common factors =1 x 4 = 4

LCM(73,332,724) = ( 73 × 332 × 724 ) / 4

LCM(73,332,724) = 17546864 / 4

LCM(73,332,724) = 4386716


Lets's calculate GCF of 65,24,998

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4386716/1

Therefore the LCM of Fractions 73/65,332/24,724/998 is 4386716

Greatest Common Factor of 65,24,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,24,998 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 65,24,998 . The biggest common factor number is the GCF number.
So the greatest common factor 65,24,998 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/65, 332/24, 724/998

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 73/65, 332/24, 724/998?

Answer: LCM of Numerators as per given numbers 73/65, 332/24, 724/998 is

LCM of Numerators i.e. for 73,332,724 is 4386716

GCF of denominators i.e. for 65,24,998 is 1.

Thus, LCM of Fractions is 4386716.Finally, LCM of Fractions for 73/65, 332/24, 724/998 is 4386716.