Least Common Multiple of 999/72, 3319/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 999/72, 3319/534 quickly i.e. 3315681/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/72, 3319/534 is 3315681/6.

LCM(999/72, 3319/534) = 3315681/6

LCM of 999/72, 3319/534

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 999/72,3319/534

Given numbers are 999/72,3319/534

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 999,3319

Least Common Multiple of Numerators i.e. LCM of 999,3319 is 3315681.

GCF of Denominators means GCF of 72,534 as per the given fractions.

GCF of 72,534 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,3319

LCM of Fractions 999/72,3319/534 is 3315681/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 3315681

Least Common Multiple of 999,3319 with GCF Formula

Least Common Multiple of 999,3319 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 999,3319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,3319) = 1

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

GCF(999,3319) x common factors =1 x 1 = 1

LCM(999,3319) = ( 999 × 3319 ) / 1

LCM(999,3319) = 3315681 / 1

LCM(999,3319) = 3315681


Lets's calculate GCF of 72,534

2 72, 534
3 36, 267
12, 89

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3315681/6

Therefore the LCM of Fractions 999/72,3319/534 is 3315681/6

Greatest Common Factor of 72,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,534 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 72,534 . The biggest common factor number is the GCF number.
So the greatest common factor 72,534 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 999/72, 3319/534

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 999/72, 3319/534?

Answer: LCM of Numerators as per given numbers 999/72, 3319/534 is

LCM of Numerators i.e. for 999,3319 is 3315681

GCF of denominators i.e. for 72,534 is 6.

Thus, LCM of Fractions is 3315681/6.Finally, LCM of Fractions for 999/72, 3319/534 is 3315681/6.