Least Common Multiple of 185/40, 162/10, 814/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/40, 162/10, 814/96 quickly i.e. 164835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/40, 162/10, 814/96 is 164835.

LCM(185/40, 162/10, 814/96) = 164835

LCM of 185/40, 162/10, 814/96

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 185/40,162/10,814/96

Given numbers are 185/40,162/10,814/96

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 185,162,814

Least Common Multiple of Numerators i.e. LCM of 185,162,814 is 329670.

GCF of Denominators means GCF of 40,10,96 as per the given fractions.

GCF of 40,10,96 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,162,814

LCM of Fractions 185/40,162/10,814/96 is 164835

2 185, 162, 814
37 185, 81, 407
5, 81, 11

∴ So the LCM of the given numbers is 2 x 37 x 5 x 81 x 11 = 329670

Least Common Multiple of 185,162,814 with GCF Formula

Least Common Multiple of 185,162,814 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 185,162,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,162,814) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(185,162,814) x common factors =1 x 74 = 74

LCM(185,162,814) = ( 185 × 162 × 814 ) / 74

LCM(185,162,814) = 24395580 / 74

LCM(185,162,814) = 329670


Lets's calculate GCF of 40,10,96

2 40, 10, 96
20, 5, 48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329670/2

Therefore the LCM of Fractions 185/40,162/10,814/96 is 164835

Greatest Common Factor of 40,10,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,10,96 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 40,10,96 . The biggest common factor number is the GCF number.
So the greatest common factor 40,10,96 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 185/40, 162/10, 814/96

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 185/40, 162/10, 814/96?

Answer: LCM of Numerators as per given numbers 185/40, 162/10, 814/96 is

LCM of Numerators i.e. for 185,162,814 is 329670

GCF of denominators i.e. for 40,10,96 is 2.

Thus, LCM of Fractions is 164835.Finally, LCM of Fractions for 185/40, 162/10, 814/96 is 164835.