Least Common Multiple of 14/436, 55/440, 905/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/436, 55/440, 905/169 quickly i.e. 139370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/436, 55/440, 905/169 is 139370.

LCM(14/436, 55/440, 905/169) = 139370

LCM of 14/436, 55/440, 905/169

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 14/436,55/440,905/169

Given numbers are 14/436,55/440,905/169

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 14,55,905

Least Common Multiple of Numerators i.e. LCM of 14,55,905 is 139370.

GCF of Denominators means GCF of 436,440,169 as per the given fractions.

GCF of 436,440,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,55,905

LCM of Fractions 14/436,55/440,905/169 is 139370

5 14, 55, 905
14, 11, 181

∴ So the LCM of the given numbers is 5 x 14 x 11 x 181 = 139370

Least Common Multiple of 14,55,905 with GCF Formula

Least Common Multiple of 14,55,905 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 14,55,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,55,905) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(14,55,905) x common factors =1 x 5 = 5

LCM(14,55,905) = ( 14 × 55 × 905 ) / 5

LCM(14,55,905) = 696850 / 5

LCM(14,55,905) = 139370


Lets's calculate GCF of 436,440,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139370/1

Therefore the LCM of Fractions 14/436,55/440,905/169 is 139370

Greatest Common Factor of 436,440,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,440,169 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 436,440,169 . The biggest common factor number is the GCF number.
So the greatest common factor 436,440,169 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 14/436, 55/440, 905/169

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 14/436, 55/440, 905/169?

Answer: LCM of Numerators as per given numbers 14/436, 55/440, 905/169 is

LCM of Numerators i.e. for 14,55,905 is 139370

GCF of denominators i.e. for 436,440,169 is 1.

Thus, LCM of Fractions is 139370.Finally, LCM of Fractions for 14/436, 55/440, 905/169 is 139370.