Least Common Multiple of 3/40, 86/599, 13/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/40, 86/599, 13/942 quickly i.e. 3354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/40, 86/599, 13/942 is 3354.

LCM(3/40, 86/599, 13/942) = 3354

LCM of 3/40, 86/599, 13/942

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 3/40,86/599,13/942

Given numbers are 3/40,86/599,13/942

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 3,86,13

Least Common Multiple of Numerators i.e. LCM of 3,86,13 is 3354.

GCF of Denominators means GCF of 40,599,942 as per the given fractions.

GCF of 40,599,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,86,13

LCM of Fractions 3/40,86/599,13/942 is 3354

Given numbers has no common factors except 1. So, there LCM is their product i.e 3354

Least Common Multiple of 3,86,13 with GCF Formula

Least Common Multiple of 3,86,13 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 3,86,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,86,13) = 1

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

GCF(3,86,13) x common factors =1 x 1 = 1

LCM(3,86,13) = ( 3 × 86 × 13 ) / 1

LCM(3,86,13) = 3354 / 1

LCM(3,86,13) = 3354


Lets's calculate GCF of 40,599,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3354/1

Therefore the LCM of Fractions 3/40,86/599,13/942 is 3354

Greatest Common Factor of 40,599,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,599,942 By Matching Biggest Common Factor Method

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 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 40,599,942 . The biggest common factor number is the GCF number.
So the greatest common factor 40,599,942 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 3/40, 86/599, 13/942

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 3/40, 86/599, 13/942?

Answer: LCM of Numerators as per given numbers 3/40, 86/599, 13/942 is

LCM of Numerators i.e. for 3,86,13 is 3354

GCF of denominators i.e. for 40,599,942 is 1.

Thus, LCM of Fractions is 3354.Finally, LCM of Fractions for 3/40, 86/599, 13/942 is 3354.