Least Common Multiple of 40/390, 420/394, 353/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/390, 420/394, 353/351 quickly i.e. 296520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/390, 420/394, 353/351 is 296520.

LCM(40/390, 420/394, 353/351) = 296520

LCM of 40/390, 420/394, 353/351

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 40/390,420/394,353/351

Given numbers are 40/390,420/394,353/351

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 40,420,353

Least Common Multiple of Numerators i.e. LCM of 40,420,353 is 296520.

GCF of Denominators means GCF of 390,394,351 as per the given fractions.

GCF of 390,394,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,420,353

LCM of Fractions 40/390,420/394,353/351 is 296520

2 40, 420, 353
2 20, 210, 353
5 10, 105, 353
2, 21, 353

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 21 x 353 = 296520

Least Common Multiple of 40,420,353 with GCF Formula

Least Common Multiple of 40,420,353 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 40,420,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,420,353) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(40,420,353) x common factors =1 x 20 = 20

LCM(40,420,353) = ( 40 × 420 × 353 ) / 20

LCM(40,420,353) = 5930400 / 20

LCM(40,420,353) = 296520


Lets's calculate GCF of 390,394,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296520/1

Therefore the LCM of Fractions 40/390,420/394,353/351 is 296520

Greatest Common Factor of 390,394,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,394,351 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 390,394,351 . The biggest common factor number is the GCF number.
So the greatest common factor 390,394,351 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 40/390, 420/394, 353/351

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 40/390, 420/394, 353/351?

Answer: LCM of Numerators as per given numbers 40/390, 420/394, 353/351 is

LCM of Numerators i.e. for 40,420,353 is 296520

GCF of denominators i.e. for 390,394,351 is 1.

Thus, LCM of Fractions is 296520.Finally, LCM of Fractions for 40/390, 420/394, 353/351 is 296520.