Least Common Multiple of 14/335, 150/539, 166/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/335, 150/539, 166/701 quickly i.e. 87150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/335, 150/539, 166/701 is 87150.

LCM(14/335, 150/539, 166/701) = 87150

LCM of 14/335, 150/539, 166/701

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 14/335,150/539,166/701

Given numbers are 14/335,150/539,166/701

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 14,150,166

Least Common Multiple of Numerators i.e. LCM of 14,150,166 is 87150.

GCF of Denominators means GCF of 335,539,701 as per the given fractions.

GCF of 335,539,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,150,166

LCM of Fractions 14/335,150/539,166/701 is 87150

2 14, 150, 166
7, 75, 83

∴ So the LCM of the given numbers is 2 x 7 x 75 x 83 = 87150

Least Common Multiple of 14,150,166 with GCF Formula

Least Common Multiple of 14,150,166 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 14,150,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,150,166) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,150,166) x common factors =2 x 2 = 4

LCM(14,150,166) = ( 14 × 150 × 166 ) / 4

LCM(14,150,166) = 348600 / 4

LCM(14,150,166) = 87150


Lets's calculate GCF of 335,539,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87150/1

Therefore the LCM of Fractions 14/335,150/539,166/701 is 87150

Greatest Common Factor of 335,539,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,539,701 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 335,539,701 . The biggest common factor number is the GCF number.
So the greatest common factor 335,539,701 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 14/335, 150/539, 166/701

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 14/335, 150/539, 166/701?

Answer: LCM of Numerators as per given numbers 14/335, 150/539, 166/701 is

LCM of Numerators i.e. for 14,150,166 is 87150

GCF of denominators i.e. for 335,539,701 is 1.

Thus, LCM of Fractions is 87150.Finally, LCM of Fractions for 14/335, 150/539, 166/701 is 87150.