Least Common Multiple of 335/14, 775/3309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 335/14, 775/3309 quickly i.e. 51925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 335/14, 775/3309 is 51925.

LCM(335/14, 775/3309) = 51925

LCM of 335/14, 775/3309

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 335/14,775/3309

Given numbers are 335/14,775/3309

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 335,775

Least Common Multiple of Numerators i.e. LCM of 335,775 is 51925.

GCF of Denominators means GCF of 14,3309 as per the given fractions.

GCF of 14,3309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 335,775

LCM of Fractions 335/14,775/3309 is 51925

5 335, 775
67, 155

∴ So the LCM of the given numbers is 5 x 67 x 155 = 51925

Least Common Multiple of 335,775 with GCF Formula

Least Common Multiple of 335,775 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 335,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,775) = 5

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

GCF(335,775) x common factors =5 x 1 = 5

LCM(335,775) = ( 335 × 775 ) / 5

LCM(335,775) = 259625 / 5

LCM(335,775) = 51925


Lets's calculate GCF of 14,3309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51925/1

Therefore the LCM of Fractions 335/14,775/3309 is 51925

Greatest Common Factor of 14,3309 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3309 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1,3,1103,3309

Greatest Common Factor

We found the factors 14,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3309 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 335/14, 775/3309

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 335/14, 775/3309?

Answer: LCM of Numerators as per given numbers 335/14, 775/3309 is

LCM of Numerators i.e. for 335,775 is 51925

GCF of denominators i.e. for 14,3309 is 1.

Thus, LCM of Fractions is 51925.Finally, LCM of Fractions for 335/14, 775/3309 is 51925.