Least Common Multiple of 13/12, 86/87, 36/93, 93/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/12, 86/87, 36/93, 93/663 quickly i.e. 207948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/12, 86/87, 36/93, 93/663 is 207948.

LCM(13/12, 86/87, 36/93, 93/663) = 207948

LCM of 13/12, 86/87, 36/93, 93/663

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 13/12,86/87,36/93,93/663

Given numbers are 13/12,86/87,36/93,93/663

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 13,86,36,93

Least Common Multiple of Numerators i.e. LCM of 13,86,36,93 is 623844.

GCF of Denominators means GCF of 12,87,93,663 as per the given fractions.

GCF of 12,87,93,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,86,36,93

LCM of Fractions 13/12,86/87,36/93,93/663 is 207948

2 13, 86, 36, 93
3 13, 43, 18, 93
13, 43, 6, 31

∴ So the LCM of the given numbers is 2 x 3 x 13 x 43 x 6 x 31 = 623844

Least Common Multiple of 13,86,36,93 with GCF Formula

Least Common Multiple of 13,86,36,93 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 13,86,36,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,86,36,93) = 1

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

GCF(13,86,36,93) x common factors =1 x 6 = 6

LCM(13,86,36,93) = ( 13 × 86 × 36 × 93 ) / 6

LCM(13,86,36,93) = 3743064 / 6

LCM(13,86,36,93) = 623844


Lets's calculate GCF of 12,87,93,663

3 12, 87, 93, 663
4, 29, 31, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623844/3

Therefore the LCM of Fractions 13/12,86/87,36/93,93/663 is 207948

Greatest Common Factor of 12,87,93,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,87,93,663 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 12,87,93,663 . The biggest common factor number is the GCF number.
So the greatest common factor 12,87,93,663 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/12, 86/87, 36/93, 93/663

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 13/12, 86/87, 36/93, 93/663?

Answer: LCM of Numerators as per given numbers 13/12, 86/87, 36/93, 93/663 is

LCM of Numerators i.e. for 13,86,36,93 is 623844

GCF of denominators i.e. for 12,87,93,663 is 3.

Thus, LCM of Fractions is 207948.Finally, LCM of Fractions for 13/12, 86/87, 36/93, 93/663 is 207948.