Least Common Multiple of 40/127, 162/385, 166/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/127, 162/385, 166/865 quickly i.e. 268920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/127, 162/385, 166/865 is 268920.

LCM(40/127, 162/385, 166/865) = 268920

LCM of 40/127, 162/385, 166/865

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 40/127,162/385,166/865

Given numbers are 40/127,162/385,166/865

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 40,162,166

Least Common Multiple of Numerators i.e. LCM of 40,162,166 is 268920.

GCF of Denominators means GCF of 127,385,865 as per the given fractions.

GCF of 127,385,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,162,166

LCM of Fractions 40/127,162/385,166/865 is 268920

2 40, 162, 166
20, 81, 83

∴ So the LCM of the given numbers is 2 x 20 x 81 x 83 = 268920

Least Common Multiple of 40,162,166 with GCF Formula

Least Common Multiple of 40,162,166 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 40,162,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,162,166) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(40,162,166) x common factors =2 x 2 = 4

LCM(40,162,166) = ( 40 × 162 × 166 ) / 4

LCM(40,162,166) = 1075680 / 4

LCM(40,162,166) = 268920


Lets's calculate GCF of 127,385,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268920/1

Therefore the LCM of Fractions 40/127,162/385,166/865 is 268920

Greatest Common Factor of 127,385,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,385,865 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 127,385,865 . The biggest common factor number is the GCF number.
So the greatest common factor 127,385,865 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 40/127, 162/385, 166/865

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 40/127, 162/385, 166/865?

Answer: LCM of Numerators as per given numbers 40/127, 162/385, 166/865 is

LCM of Numerators i.e. for 40,162,166 is 268920

GCF of denominators i.e. for 127,385,865 is 1.

Thus, LCM of Fractions is 268920.Finally, LCM of Fractions for 40/127, 162/385, 166/865 is 268920.