Least Common Multiple of 401/14, 529/40, 604/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/14, 529/40, 604/166 quickly i.e. 64062958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/14, 529/40, 604/166 is 64062958.

LCM(401/14, 529/40, 604/166) = 64062958

LCM of 401/14, 529/40, 604/166

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 401/14,529/40,604/166

Given numbers are 401/14,529/40,604/166

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 401,529,604

Least Common Multiple of Numerators i.e. LCM of 401,529,604 is 128125916.

GCF of Denominators means GCF of 14,40,166 as per the given fractions.

GCF of 14,40,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,529,604

LCM of Fractions 401/14,529/40,604/166 is 64062958

Given numbers has no common factors except 1. So, there LCM is their product i.e 128125916

Least Common Multiple of 401,529,604 with GCF Formula

Least Common Multiple of 401,529,604 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 401,529,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,529,604) = 1

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

GCF(401,529,604) x common factors =1 x 1 = 1

LCM(401,529,604) = ( 401 × 529 × 604 ) / 1

LCM(401,529,604) = 128125916 / 1

LCM(401,529,604) = 128125916


Lets's calculate GCF of 14,40,166

2 14, 40, 166
7, 20, 83

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128125916/2

Therefore the LCM of Fractions 401/14,529/40,604/166 is 64062958

Greatest Common Factor of 14,40,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,40,166 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 14,40,166 . The biggest common factor number is the GCF number.
So the greatest common factor 14,40,166 is 2.


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 401/14, 529/40, 604/166

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 401/14, 529/40, 604/166?

Answer: LCM of Numerators as per given numbers 401/14, 529/40, 604/166 is

LCM of Numerators i.e. for 401,529,604 is 128125916

GCF of denominators i.e. for 14,40,166 is 2.

Thus, LCM of Fractions is 64062958.Finally, LCM of Fractions for 401/14, 529/40, 604/166 is 64062958.