Least Common Multiple of 67/18, 672/80, 104/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/18, 672/80, 104/201 quickly i.e. 585312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/18, 672/80, 104/201 is 585312.

LCM(67/18, 672/80, 104/201) = 585312

LCM of 67/18, 672/80, 104/201

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 67/18,672/80,104/201

Given numbers are 67/18,672/80,104/201

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 67,672,104

Least Common Multiple of Numerators i.e. LCM of 67,672,104 is 585312.

GCF of Denominators means GCF of 18,80,201 as per the given fractions.

GCF of 18,80,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,672,104

LCM of Fractions 67/18,672/80,104/201 is 585312

2 67, 672, 104
2 67, 336, 52
2 67, 168, 26
67, 84, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 84 x 13 = 585312

Least Common Multiple of 67,672,104 with GCF Formula

Least Common Multiple of 67,672,104 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 67,672,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,672,104) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(67,672,104) x common factors =1 x 8 = 8

LCM(67,672,104) = ( 67 × 672 × 104 ) / 8

LCM(67,672,104) = 4682496 / 8

LCM(67,672,104) = 585312


Lets's calculate GCF of 18,80,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585312/1

Therefore the LCM of Fractions 67/18,672/80,104/201 is 585312

Greatest Common Factor of 18,80,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,80,201 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 18,80,201 . The biggest common factor number is the GCF number.
So the greatest common factor 18,80,201 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 67/18, 672/80, 104/201

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 67/18, 672/80, 104/201?

Answer: LCM of Numerators as per given numbers 67/18, 672/80, 104/201 is

LCM of Numerators i.e. for 67,672,104 is 585312

GCF of denominators i.e. for 18,80,201 is 1.

Thus, LCM of Fractions is 585312.Finally, LCM of Fractions for 67/18, 672/80, 104/201 is 585312.