Least Common Multiple of 86/94, 66/42, 393/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/94, 66/42, 393/112 quickly i.e. 185889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/94, 66/42, 393/112 is 185889.

LCM(86/94, 66/42, 393/112) = 185889

LCM of 86/94, 66/42, 393/112

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 86/94,66/42,393/112

Given numbers are 86/94,66/42,393/112

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 86,66,393

Least Common Multiple of Numerators i.e. LCM of 86,66,393 is 371778.

GCF of Denominators means GCF of 94,42,112 as per the given fractions.

GCF of 94,42,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,66,393

LCM of Fractions 86/94,66/42,393/112 is 185889

2 86, 66, 393
3 43, 33, 393
43, 11, 131

∴ So the LCM of the given numbers is 2 x 3 x 43 x 11 x 131 = 371778

Least Common Multiple of 86,66,393 with GCF Formula

Least Common Multiple of 86,66,393 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 86,66,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,66,393) = 1

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

GCF(86,66,393) x common factors =1 x 6 = 6

LCM(86,66,393) = ( 86 × 66 × 393 ) / 6

LCM(86,66,393) = 2230668 / 6

LCM(86,66,393) = 371778


Lets's calculate GCF of 94,42,112

2 94, 42, 112
47, 21, 56

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371778/2

Therefore the LCM of Fractions 86/94,66/42,393/112 is 185889

Greatest Common Factor of 94,42,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,42,112 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 94,42,112 . The biggest common factor number is the GCF number.
So the greatest common factor 94,42,112 is 2.


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 86/94, 66/42, 393/112

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 86/94, 66/42, 393/112?

Answer: LCM of Numerators as per given numbers 86/94, 66/42, 393/112 is

LCM of Numerators i.e. for 86,66,393 is 371778

GCF of denominators i.e. for 94,42,112 is 2.

Thus, LCM of Fractions is 185889.Finally, LCM of Fractions for 86/94, 66/42, 393/112 is 185889.