Least Common Multiple of 182/855, 184/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/855, 184/152 quickly i.e. 16744/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/855, 184/152 is 16744/19.

LCM(182/855, 184/152) = 16744/19

LCM of 182/855, 184/152

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 182/855,184/152

Given numbers are 182/855,184/152

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 182,184

Least Common Multiple of Numerators i.e. LCM of 182,184 is 16744.

GCF of Denominators means GCF of 855,152 as per the given fractions.

GCF of 855,152 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,184

LCM of Fractions 182/855,184/152 is 16744/19

2 182, 184
91, 92

∴ So the LCM of the given numbers is 2 x 91 x 92 = 16744

Least Common Multiple of 182,184 with GCF Formula

Least Common Multiple of 182,184 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 182,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,184) = 2

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

GCF(182,184) x common factors =2 x 1 = 2

LCM(182,184) = ( 182 × 184 ) / 2

LCM(182,184) = 33488 / 2

LCM(182,184) = 16744


Lets's calculate GCF of 855,152

19 855, 152
45, 8

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16744/19

Therefore the LCM of Fractions 182/855,184/152 is 16744/19

Greatest Common Factor of 855,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,152 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 855,152 . The biggest common factor number is the GCF number.
So the greatest common factor 855,152 is 19.


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 182/855, 184/152

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 182/855, 184/152?

Answer: LCM of Numerators as per given numbers 182/855, 184/152 is

LCM of Numerators i.e. for 182,184 is 16744

GCF of denominators i.e. for 855,152 is 19.

Thus, LCM of Fractions is 16744/19.Finally, LCM of Fractions for 182/855, 184/152 is 16744/19.