Least Common Multiple of 86/514, 33/297, 605/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/514, 33/297, 605/150 quickly i.e. 156090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/514, 33/297, 605/150 is 156090.

LCM(86/514, 33/297, 605/150) = 156090

LCM of 86/514, 33/297, 605/150

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 86/514,33/297,605/150

Given numbers are 86/514,33/297,605/150

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 86,33,605

Least Common Multiple of Numerators i.e. LCM of 86,33,605 is 156090.

GCF of Denominators means GCF of 514,297,150 as per the given fractions.

GCF of 514,297,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,33,605

LCM of Fractions 86/514,33/297,605/150 is 156090

11 86, 33, 605
86, 3, 55

∴ So the LCM of the given numbers is 11 x 86 x 3 x 55 = 156090

Least Common Multiple of 86,33,605 with GCF Formula

Least Common Multiple of 86,33,605 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 86,33,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,33,605) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(86,33,605) x common factors =1 x 11 = 11

LCM(86,33,605) = ( 86 × 33 × 605 ) / 11

LCM(86,33,605) = 1716990 / 11

LCM(86,33,605) = 156090


Lets's calculate GCF of 514,297,150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156090/1

Therefore the LCM of Fractions 86/514,33/297,605/150 is 156090

Greatest Common Factor of 514,297,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,297,150 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 514,297,150 . The biggest common factor number is the GCF number.
So the greatest common factor 514,297,150 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 86/514, 33/297, 605/150

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 86/514, 33/297, 605/150?

Answer: LCM of Numerators as per given numbers 86/514, 33/297, 605/150 is

LCM of Numerators i.e. for 86,33,605 is 156090

GCF of denominators i.e. for 514,297,150 is 1.

Thus, LCM of Fractions is 156090.Finally, LCM of Fractions for 86/514, 33/297, 605/150 is 156090.