Least Common Multiple of 69/335, 811/323, 418/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/335, 811/323, 418/374 quickly i.e. 23390862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/335, 811/323, 418/374 is 23390862.

LCM(69/335, 811/323, 418/374) = 23390862

LCM of 69/335, 811/323, 418/374

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 69/335,811/323,418/374

Given numbers are 69/335,811/323,418/374

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 69,811,418

Least Common Multiple of Numerators i.e. LCM of 69,811,418 is 23390862.

GCF of Denominators means GCF of 335,323,374 as per the given fractions.

GCF of 335,323,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,811,418

LCM of Fractions 69/335,811/323,418/374 is 23390862

Given numbers has no common factors except 1. So, there LCM is their product i.e 23390862

Least Common Multiple of 69,811,418 with GCF Formula

Least Common Multiple of 69,811,418 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 69,811,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,811,418) = 1

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

GCF(69,811,418) x common factors =1 x 1 = 1

LCM(69,811,418) = ( 69 × 811 × 418 ) / 1

LCM(69,811,418) = 23390862 / 1

LCM(69,811,418) = 23390862


Lets's calculate GCF of 335,323,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23390862/1

Therefore the LCM of Fractions 69/335,811/323,418/374 is 23390862

Greatest Common Factor of 335,323,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,323,374 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 335,323,374 . The biggest common factor number is the GCF number.
So the greatest common factor 335,323,374 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/335, 811/323, 418/374

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 69/335, 811/323, 418/374?

Answer: LCM of Numerators as per given numbers 69/335, 811/323, 418/374 is

LCM of Numerators i.e. for 69,811,418 is 23390862

GCF of denominators i.e. for 335,323,374 is 1.

Thus, LCM of Fractions is 23390862.Finally, LCM of Fractions for 69/335, 811/323, 418/374 is 23390862.