Least Common Multiple of 319/80, 866/83, 741/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/80, 866/83, 741/149 quickly i.e. 204704214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/80, 866/83, 741/149 is 204704214.

LCM(319/80, 866/83, 741/149) = 204704214

LCM of 319/80, 866/83, 741/149

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 319/80,866/83,741/149

Given numbers are 319/80,866/83,741/149

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 319,866,741

Least Common Multiple of Numerators i.e. LCM of 319,866,741 is 204704214.

GCF of Denominators means GCF of 80,83,149 as per the given fractions.

GCF of 80,83,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,866,741

LCM of Fractions 319/80,866/83,741/149 is 204704214

Given numbers has no common factors except 1. So, there LCM is their product i.e 204704214

Least Common Multiple of 319,866,741 with GCF Formula

Least Common Multiple of 319,866,741 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 319,866,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,866,741) = 1

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

GCF(319,866,741) x common factors =1 x 1 = 1

LCM(319,866,741) = ( 319 × 866 × 741 ) / 1

LCM(319,866,741) = 204704214 / 1

LCM(319,866,741) = 204704214


Lets's calculate GCF of 80,83,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204704214/1

Therefore the LCM of Fractions 319/80,866/83,741/149 is 204704214

Greatest Common Factor of 80,83,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,83,149 By Matching Biggest Common Factor Method

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 83

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

1,83

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 80,83,149 . The biggest common factor number is the GCF number.
So the greatest common factor 80,83,149 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 319/80, 866/83, 741/149

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 319/80, 866/83, 741/149?

Answer: LCM of Numerators as per given numbers 319/80, 866/83, 741/149 is

LCM of Numerators i.e. for 319,866,741 is 204704214

GCF of denominators i.e. for 80,83,149 is 1.

Thus, LCM of Fractions is 204704214.Finally, LCM of Fractions for 319/80, 866/83, 741/149 is 204704214.