Least Common Multiple of 42/415, 13/290, 380/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/415, 13/290, 380/494 quickly i.e. 103740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/415, 13/290, 380/494 is 103740.

LCM(42/415, 13/290, 380/494) = 103740

LCM of 42/415, 13/290, 380/494

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 42/415,13/290,380/494

Given numbers are 42/415,13/290,380/494

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 42,13,380

Least Common Multiple of Numerators i.e. LCM of 42,13,380 is 103740.

GCF of Denominators means GCF of 415,290,494 as per the given fractions.

GCF of 415,290,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,13,380

LCM of Fractions 42/415,13/290,380/494 is 103740

2 42, 13, 380
21, 13, 190

∴ So the LCM of the given numbers is 2 x 21 x 13 x 190 = 103740

Least Common Multiple of 42,13,380 with GCF Formula

Least Common Multiple of 42,13,380 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 42,13,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,13,380) = 1

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

GCF(42,13,380) x common factors =1 x 2 = 2

LCM(42,13,380) = ( 42 × 13 × 380 ) / 2

LCM(42,13,380) = 207480 / 2

LCM(42,13,380) = 103740


Lets's calculate GCF of 415,290,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103740/1

Therefore the LCM of Fractions 42/415,13/290,380/494 is 103740

Greatest Common Factor of 415,290,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,290,494 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

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 415,290,494 . The biggest common factor number is the GCF number.
So the greatest common factor 415,290,494 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 42/415, 13/290, 380/494

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 42/415, 13/290, 380/494?

Answer: LCM of Numerators as per given numbers 42/415, 13/290, 380/494 is

LCM of Numerators i.e. for 42,13,380 is 103740

GCF of denominators i.e. for 415,290,494 is 1.

Thus, LCM of Fractions is 103740.Finally, LCM of Fractions for 42/415, 13/290, 380/494 is 103740.