Least Common Multiple of 305/13, 289/84, 918/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/13, 289/84, 918/169 quickly i.e. 4759830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/13, 289/84, 918/169 is 4759830.

LCM(305/13, 289/84, 918/169) = 4759830

LCM of 305/13, 289/84, 918/169

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 305/13,289/84,918/169

Given numbers are 305/13,289/84,918/169

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 305,289,918

Least Common Multiple of Numerators i.e. LCM of 305,289,918 is 4759830.

GCF of Denominators means GCF of 13,84,169 as per the given fractions.

GCF of 13,84,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,289,918

LCM of Fractions 305/13,289/84,918/169 is 4759830

17 305, 289, 918
305, 17, 54

∴ So the LCM of the given numbers is 17 x 305 x 17 x 54 = 4759830

Least Common Multiple of 305,289,918 with GCF Formula

Least Common Multiple of 305,289,918 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 305,289,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,289,918) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(305,289,918) x common factors =1 x 17 = 17

LCM(305,289,918) = ( 305 × 289 × 918 ) / 17

LCM(305,289,918) = 80917110 / 17

LCM(305,289,918) = 4759830


Lets's calculate GCF of 13,84,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4759830/1

Therefore the LCM of Fractions 305/13,289/84,918/169 is 4759830

Greatest Common Factor of 13,84,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,84,169 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 13,84,169 . The biggest common factor number is the GCF number.
So the greatest common factor 13,84,169 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 305/13, 289/84, 918/169

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 305/13, 289/84, 918/169?

Answer: LCM of Numerators as per given numbers 305/13, 289/84, 918/169 is

LCM of Numerators i.e. for 305,289,918 is 4759830

GCF of denominators i.e. for 13,84,169 is 1.

Thus, LCM of Fractions is 4759830.Finally, LCM of Fractions for 305/13, 289/84, 918/169 is 4759830.