Least Common Multiple of 3/99, 6/72, 85/12, 16/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/99, 6/72, 85/12, 16/462 quickly i.e. 1360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/99, 6/72, 85/12, 16/462 is 1360.

LCM(3/99, 6/72, 85/12, 16/462) = 1360

LCM of 3/99, 6/72, 85/12, 16/462

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 3/99,6/72,85/12,16/462

Given numbers are 3/99,6/72,85/12,16/462

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 3,6,85,16

Least Common Multiple of Numerators i.e. LCM of 3,6,85,16 is 4080.

GCF of Denominators means GCF of 99,72,12,462 as per the given fractions.

GCF of 99,72,12,462 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,6,85,16

LCM of Fractions 3/99,6/72,85/12,16/462 is 1360

2 3, 6, 85, 16
3 3, 3, 85, 8
1, 1, 85, 8

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 85 x 8 = 4080

Least Common Multiple of 3,6,85,16 with GCF Formula

Least Common Multiple of 3,6,85,16 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 3,6,85,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,6,85,16) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(3,6,85,16) x common factors =1 x 6 = 6

LCM(3,6,85,16) = ( 3 × 6 × 85 × 16 ) / 6

LCM(3,6,85,16) = 24480 / 6

LCM(3,6,85,16) = 4080


Lets's calculate GCF of 99,72,12,462

3 99, 72, 12, 462
33, 24, 4, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4080/3

Therefore the LCM of Fractions 3/99,6/72,85/12,16/462 is 1360

Greatest Common Factor of 99,72,12,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,72,12,462 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 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 99,72,12,462 . The biggest common factor number is the GCF number.
So the greatest common factor 99,72,12,462 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3/99, 6/72, 85/12, 16/462

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 3/99, 6/72, 85/12, 16/462?

Answer: LCM of Numerators as per given numbers 3/99, 6/72, 85/12, 16/462 is

LCM of Numerators i.e. for 3,6,85,16 is 4080

GCF of denominators i.e. for 99,72,12,462 is 3.

Thus, LCM of Fractions is 1360.Finally, LCM of Fractions for 3/99, 6/72, 85/12, 16/462 is 1360.