Least Common Multiple of 182/95, 378/27, 456/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/95, 378/27, 456/808 quickly i.e. 373464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/95, 378/27, 456/808 is 373464.

LCM(182/95, 378/27, 456/808) = 373464

LCM of 182/95, 378/27, 456/808

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 182/95,378/27,456/808

Given numbers are 182/95,378/27,456/808

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 182,378,456

Least Common Multiple of Numerators i.e. LCM of 182,378,456 is 373464.

GCF of Denominators means GCF of 95,27,808 as per the given fractions.

GCF of 95,27,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,378,456

LCM of Fractions 182/95,378/27,456/808 is 373464

2 182, 378, 456
3 91, 189, 228
7 91, 63, 76
13, 9, 76

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 9 x 76 = 373464

Least Common Multiple of 182,378,456 with GCF Formula

Least Common Multiple of 182,378,456 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 182,378,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,378,456) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(182,378,456) x common factors =2 x 42 = 84

LCM(182,378,456) = ( 182 × 378 × 456 ) / 84

LCM(182,378,456) = 31370976 / 84

LCM(182,378,456) = 373464


Lets's calculate GCF of 95,27,808

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373464/1

Therefore the LCM of Fractions 182/95,378/27,456/808 is 373464

Greatest Common Factor of 95,27,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,27,808 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 95,27,808 . The biggest common factor number is the GCF number.
So the greatest common factor 95,27,808 is 1.


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 182/95, 378/27, 456/808

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 182/95, 378/27, 456/808?

Answer: LCM of Numerators as per given numbers 182/95, 378/27, 456/808 is

LCM of Numerators i.e. for 182,378,456 is 373464

GCF of denominators i.e. for 95,27,808 is 1.

Thus, LCM of Fractions is 373464.Finally, LCM of Fractions for 182/95, 378/27, 456/808 is 373464.