Least Common Multiple of 67/83, 68/17, 45/99, 18/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/83, 68/17, 45/99, 18/665 quickly i.e. 205020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/83, 68/17, 45/99, 18/665 is 205020.

LCM(67/83, 68/17, 45/99, 18/665) = 205020

LCM of 67/83, 68/17, 45/99, 18/665

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 67/83,68/17,45/99,18/665

Given numbers are 67/83,68/17,45/99,18/665

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 67,68,45,18

Least Common Multiple of Numerators i.e. LCM of 67,68,45,18 is 205020.

GCF of Denominators means GCF of 83,17,99,665 as per the given fractions.

GCF of 83,17,99,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,68,45,18

LCM of Fractions 67/83,68/17,45/99,18/665 is 205020

2 67, 68, 45, 18
3 67, 34, 45, 9
3 67, 34, 15, 3
67, 34, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 67 x 34 x 5 x 1 = 205020

Least Common Multiple of 67,68,45,18 with GCF Formula

Least Common Multiple of 67,68,45,18 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 67,68,45,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,68,45,18) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(67,68,45,18) x common factors =1 x 18 = 18

LCM(67,68,45,18) = ( 67 × 68 × 45 × 18 ) / 18

LCM(67,68,45,18) = 3690360 / 18

LCM(67,68,45,18) = 205020


Lets's calculate GCF of 83,17,99,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205020/1

Therefore the LCM of Fractions 67/83,68/17,45/99,18/665 is 205020

Greatest Common Factor of 83,17,99,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,17,99,665 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 17

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

1,17

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 83,17,99,665 . The biggest common factor number is the GCF number.
So the greatest common factor 83,17,99,665 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 67/83, 68/17, 45/99, 18/665

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 67/83, 68/17, 45/99, 18/665?

Answer: LCM of Numerators as per given numbers 67/83, 68/17, 45/99, 18/665 is

LCM of Numerators i.e. for 67,68,45,18 is 205020

GCF of denominators i.e. for 83,17,99,665 is 1.

Thus, LCM of Fractions is 205020.Finally, LCM of Fractions for 67/83, 68/17, 45/99, 18/665 is 205020.