Least Common Multiple of 75/18, 82/12, 312/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/18, 82/12, 312/92 quickly i.e. 159900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/18, 82/12, 312/92 is 159900.

LCM(75/18, 82/12, 312/92) = 159900

LCM of 75/18, 82/12, 312/92

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 75/18,82/12,312/92

Given numbers are 75/18,82/12,312/92

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 75,82,312

Least Common Multiple of Numerators i.e. LCM of 75,82,312 is 319800.

GCF of Denominators means GCF of 18,12,92 as per the given fractions.

GCF of 18,12,92 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,82,312

LCM of Fractions 75/18,82/12,312/92 is 159900

2 75, 82, 312
3 75, 41, 156
25, 41, 52

∴ So the LCM of the given numbers is 2 x 3 x 25 x 41 x 52 = 319800

Least Common Multiple of 75,82,312 with GCF Formula

Least Common Multiple of 75,82,312 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 75,82,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,82,312) = 1

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

GCF(75,82,312) x common factors =1 x 6 = 6

LCM(75,82,312) = ( 75 × 82 × 312 ) / 6

LCM(75,82,312) = 1918800 / 6

LCM(75,82,312) = 319800


Lets's calculate GCF of 18,12,92

2 18, 12, 92
9, 6, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319800/2

Therefore the LCM of Fractions 75/18,82/12,312/92 is 159900

Greatest Common Factor of 18,12,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,12,92 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 12

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

1,2,3,4,6,12

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 18,12,92 . The biggest common factor number is the GCF number.
So the greatest common factor 18,12,92 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 75/18, 82/12, 312/92

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 75/18, 82/12, 312/92?

Answer: LCM of Numerators as per given numbers 75/18, 82/12, 312/92 is

LCM of Numerators i.e. for 75,82,312 is 319800

GCF of denominators i.e. for 18,12,92 is 2.

Thus, LCM of Fractions is 159900.Finally, LCM of Fractions for 75/18, 82/12, 312/92 is 159900.