Least Common Multiple of 399/38, 667/40, 166/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 399/38, 667/40, 166/52 quickly i.e. 22089039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/38, 667/40, 166/52 is 22089039.

LCM(399/38, 667/40, 166/52) = 22089039

LCM of 399/38, 667/40, 166/52

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 399/38,667/40,166/52

Given numbers are 399/38,667/40,166/52

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 399,667,166

Least Common Multiple of Numerators i.e. LCM of 399,667,166 is 44178078.

GCF of Denominators means GCF of 38,40,52 as per the given fractions.

GCF of 38,40,52 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,667,166

LCM of Fractions 399/38,667/40,166/52 is 22089039

Given numbers has no common factors except 1. So, there LCM is their product i.e 44178078

Least Common Multiple of 399,667,166 with GCF Formula

Least Common Multiple of 399,667,166 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 399,667,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,667,166) = 1

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

GCF(399,667,166) x common factors =1 x 1 = 1

LCM(399,667,166) = ( 399 × 667 × 166 ) / 1

LCM(399,667,166) = 44178078 / 1

LCM(399,667,166) = 44178078


Lets's calculate GCF of 38,40,52

2 38, 40, 52
19, 20, 26

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44178078/2

Therefore the LCM of Fractions 399/38,667/40,166/52 is 22089039

Greatest Common Factor of 38,40,52 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,40,52 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Greatest Common Factor

We found the factors 38,40,52 . The biggest common factor number is the GCF number.
So the greatest common factor 38,40,52 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 399/38, 667/40, 166/52

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 399/38, 667/40, 166/52?

Answer: LCM of Numerators as per given numbers 399/38, 667/40, 166/52 is

LCM of Numerators i.e. for 399,667,166 is 44178078

GCF of denominators i.e. for 38,40,52 is 2.

Thus, LCM of Fractions is 22089039.Finally, LCM of Fractions for 399/38, 667/40, 166/52 is 22089039.