Least Common Multiple of 319/99, 232/9873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 319/99, 232/9873 quickly i.e. 2552/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/99, 232/9873 is 2552/9.

LCM(319/99, 232/9873) = 2552/9

LCM of 319/99, 232/9873

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 319/99,232/9873

Given numbers are 319/99,232/9873

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 319,232

Least Common Multiple of Numerators i.e. LCM of 319,232 is 2552.

GCF of Denominators means GCF of 99,9873 as per the given fractions.

GCF of 99,9873 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,232

LCM of Fractions 319/99,232/9873 is 2552/9

29 319, 232
11, 8

∴ So the LCM of the given numbers is 29 x 11 x 8 = 2552

Least Common Multiple of 319,232 with GCF Formula

Least Common Multiple of 319,232 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 319,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,232) = 29

common factors(in case of two or more numbers have common factors) = 1

GCF(319,232) x common factors =29 x 1 = 29

LCM(319,232) = ( 319 × 232 ) / 29

LCM(319,232) = 74008 / 29

LCM(319,232) = 2552


Lets's calculate GCF of 99,9873

3 99, 9873
3 33, 3291
11, 1097

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2552/9

Therefore the LCM of Fractions 319/99,232/9873 is 2552/9

Greatest Common Factor of 99,9873 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,9873 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1,3,9,1097,3291,9873

Greatest Common Factor

We found the factors 99,9873 . The biggest common factor number is the GCF number.
So the greatest common factor 99,9873 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 319/99, 232/9873

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 319/99, 232/9873?

Answer: LCM of Numerators as per given numbers 319/99, 232/9873 is

LCM of Numerators i.e. for 319,232 is 2552

GCF of denominators i.e. for 99,9873 is 9.

Thus, LCM of Fractions is 2552/9.Finally, LCM of Fractions for 319/99, 232/9873 is 2552/9.