Least Common Multiple of 240/17, 782/44, 138/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/17, 782/44, 138/666 quickly i.e. 93840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/17, 782/44, 138/666 is 93840.

LCM(240/17, 782/44, 138/666) = 93840

LCM of 240/17, 782/44, 138/666

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 240/17,782/44,138/666

Given numbers are 240/17,782/44,138/666

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 240,782,138

Least Common Multiple of Numerators i.e. LCM of 240,782,138 is 93840.

GCF of Denominators means GCF of 17,44,666 as per the given fractions.

GCF of 17,44,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,782,138

LCM of Fractions 240/17,782/44,138/666 is 93840

2 240, 782, 138
3 120, 391, 69
23 40, 391, 23
40, 17, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 40 x 17 x 1 = 93840

Least Common Multiple of 240,782,138 with GCF Formula

Least Common Multiple of 240,782,138 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 240,782,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,782,138) = 2

common factors(in case of two or more numbers have common factors) = 138

GCF(240,782,138) x common factors =2 x 138 = 276

LCM(240,782,138) = ( 240 × 782 × 138 ) / 276

LCM(240,782,138) = 25899840 / 276

LCM(240,782,138) = 93840


Lets's calculate GCF of 17,44,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93840/1

Therefore the LCM of Fractions 240/17,782/44,138/666 is 93840

Greatest Common Factor of 17,44,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,44,666 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 17,44,666 . The biggest common factor number is the GCF number.
So the greatest common factor 17,44,666 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 240/17, 782/44, 138/666

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 240/17, 782/44, 138/666?

Answer: LCM of Numerators as per given numbers 240/17, 782/44, 138/666 is

LCM of Numerators i.e. for 240,782,138 is 93840

GCF of denominators i.e. for 17,44,666 is 1.

Thus, LCM of Fractions is 93840.Finally, LCM of Fractions for 240/17, 782/44, 138/666 is 93840.