Least Common Multiple of 340/40, 411/48, 390/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/40, 411/48, 390/494 quickly i.e. 908310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/40, 411/48, 390/494 is 908310.

LCM(340/40, 411/48, 390/494) = 908310

LCM of 340/40, 411/48, 390/494

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 340/40,411/48,390/494

Given numbers are 340/40,411/48,390/494

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 340,411,390

Least Common Multiple of Numerators i.e. LCM of 340,411,390 is 1816620.

GCF of Denominators means GCF of 40,48,494 as per the given fractions.

GCF of 40,48,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,411,390

LCM of Fractions 340/40,411/48,390/494 is 908310

2 340, 411, 390
3 170, 411, 195
5 170, 137, 65
34, 137, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 34 x 137 x 13 = 1816620

Least Common Multiple of 340,411,390 with GCF Formula

Least Common Multiple of 340,411,390 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 340,411,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,411,390) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(340,411,390) x common factors =1 x 30 = 30

LCM(340,411,390) = ( 340 × 411 × 390 ) / 30

LCM(340,411,390) = 54498600 / 30

LCM(340,411,390) = 1816620


Lets's calculate GCF of 40,48,494

2 40, 48, 494
20, 24, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1816620/2

Therefore the LCM of Fractions 340/40,411/48,390/494 is 908310

Greatest Common Factor of 40,48,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,48,494 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 40,48,494 . The biggest common factor number is the GCF number.
So the greatest common factor 40,48,494 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 340/40, 411/48, 390/494

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 340/40, 411/48, 390/494?

Answer: LCM of Numerators as per given numbers 340/40, 411/48, 390/494 is

LCM of Numerators i.e. for 340,411,390 is 1816620

GCF of denominators i.e. for 40,48,494 is 2.

Thus, LCM of Fractions is 908310.Finally, LCM of Fractions for 340/40, 411/48, 390/494 is 908310.