Least Common Multiple of 89/67, 83/80, 42/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/67, 83/80, 42/305 quickly i.e. 310254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/67, 83/80, 42/305 is 310254.

LCM(89/67, 83/80, 42/305) = 310254

LCM of 89/67, 83/80, 42/305

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 89/67,83/80,42/305

Given numbers are 89/67,83/80,42/305

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 89,83,42

Least Common Multiple of Numerators i.e. LCM of 89,83,42 is 310254.

GCF of Denominators means GCF of 67,80,305 as per the given fractions.

GCF of 67,80,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,83,42

LCM of Fractions 89/67,83/80,42/305 is 310254

Given numbers has no common factors except 1. So, there LCM is their product i.e 310254

Least Common Multiple of 89,83,42 with GCF Formula

Least Common Multiple of 89,83,42 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 89,83,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,83,42) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,83,42) x common factors =1 x 1 = 1

LCM(89,83,42) = ( 89 × 83 × 42 ) / 1

LCM(89,83,42) = 310254 / 1

LCM(89,83,42) = 310254


Lets's calculate GCF of 67,80,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310254/1

Therefore the LCM of Fractions 89/67,83/80,42/305 is 310254

Greatest Common Factor of 67,80,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,80,305 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

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 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 67,80,305 . The biggest common factor number is the GCF number.
So the greatest common factor 67,80,305 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/67, 83/80, 42/305

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 89/67, 83/80, 42/305?

Answer: LCM of Numerators as per given numbers 89/67, 83/80, 42/305 is

LCM of Numerators i.e. for 89,83,42 is 310254

GCF of denominators i.e. for 67,80,305 is 1.

Thus, LCM of Fractions is 310254.Finally, LCM of Fractions for 89/67, 83/80, 42/305 is 310254.