Least Common Multiple of 67/16, 85/83, 85/22, 29/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/16, 85/83, 85/22, 29/621 quickly i.e. 165155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/16, 85/83, 85/22, 29/621 is 165155.

LCM(67/16, 85/83, 85/22, 29/621) = 165155

LCM of 67/16, 85/83, 85/22, 29/621

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 67/16,85/83,85/22,29/621

Given numbers are 67/16,85/83,85/22,29/621

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 67,85,85,29

Least Common Multiple of Numerators i.e. LCM of 67,85,85,29 is 165155.

GCF of Denominators means GCF of 16,83,22,621 as per the given fractions.

GCF of 16,83,22,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,85,85,29

LCM of Fractions 67/16,85/83,85/22,29/621 is 165155

5 67, 85, 85, 29
17 67, 17, 17, 29
67, 1, 1, 29

∴ So the LCM of the given numbers is 5 x 17 x 67 x 1 x 1 x 29 = 165155

Least Common Multiple of 67,85,85,29 with GCF Formula

Least Common Multiple of 67,85,85,29 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 67,85,85,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,85,85,29) = 1

common factors(in case of two or more numbers have common factors) = 85

GCF(67,85,85,29) x common factors =1 x 85 = 85

LCM(67,85,85,29) = ( 67 × 85 × 85 × 29 ) / 85

LCM(67,85,85,29) = 14038175 / 85

LCM(67,85,85,29) = 165155


Lets's calculate GCF of 16,83,22,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165155/1

Therefore the LCM of Fractions 67/16,85/83,85/22,29/621 is 165155

Greatest Common Factor of 16,83,22,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,83,22,621 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 83

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

1,83

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 16,83,22,621 . The biggest common factor number is the GCF number.
So the greatest common factor 16,83,22,621 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 67/16, 85/83, 85/22, 29/621

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 67/16, 85/83, 85/22, 29/621?

Answer: LCM of Numerators as per given numbers 67/16, 85/83, 85/22, 29/621 is

LCM of Numerators i.e. for 67,85,85,29 is 165155

GCF of denominators i.e. for 16,83,22,621 is 1.

Thus, LCM of Fractions is 165155.Finally, LCM of Fractions for 67/16, 85/83, 85/22, 29/621 is 165155.