Least Common Multiple of 40/52, 38/92, 309/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/52, 38/92, 309/886 quickly i.e. 117420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/52, 38/92, 309/886 is 117420.

LCM(40/52, 38/92, 309/886) = 117420

LCM of 40/52, 38/92, 309/886

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 40/52,38/92,309/886

Given numbers are 40/52,38/92,309/886

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 40,38,309

Least Common Multiple of Numerators i.e. LCM of 40,38,309 is 234840.

GCF of Denominators means GCF of 52,92,886 as per the given fractions.

GCF of 52,92,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,38,309

LCM of Fractions 40/52,38/92,309/886 is 117420

2 40, 38, 309
20, 19, 309

∴ So the LCM of the given numbers is 2 x 20 x 19 x 309 = 234840

Least Common Multiple of 40,38,309 with GCF Formula

Least Common Multiple of 40,38,309 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 40,38,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,38,309) = 1

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

GCF(40,38,309) x common factors =1 x 2 = 2

LCM(40,38,309) = ( 40 × 38 × 309 ) / 2

LCM(40,38,309) = 469680 / 2

LCM(40,38,309) = 234840


Lets's calculate GCF of 52,92,886

2 52, 92, 886
26, 46, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234840/2

Therefore the LCM of Fractions 40/52,38/92,309/886 is 117420

Greatest Common Factor of 52,92,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,92,886 By Matching Biggest Common Factor Method

Factors of 52

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

1,2,4,13,26,52

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 52,92,886 . The biggest common factor number is the GCF number.
So the greatest common factor 52,92,886 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 40/52, 38/92, 309/886

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 40/52, 38/92, 309/886?

Answer: LCM of Numerators as per given numbers 40/52, 38/92, 309/886 is

LCM of Numerators i.e. for 40,38,309 is 234840

GCF of denominators i.e. for 52,92,886 is 2.

Thus, LCM of Fractions is 117420.Finally, LCM of Fractions for 40/52, 38/92, 309/886 is 117420.