Least Common Multiple of 3465/305, 1999/1855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3465/305, 1999/1855 quickly i.e. 1385307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3465/305, 1999/1855 is 1385307.

LCM(3465/305, 1999/1855) = 1385307

LCM of 3465/305, 1999/1855

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 3465/305,1999/1855

Given numbers are 3465/305,1999/1855

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 3465,1999

Least Common Multiple of Numerators i.e. LCM of 3465,1999 is 6926535.

GCF of Denominators means GCF of 305,1855 as per the given fractions.

GCF of 305,1855 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3465,1999

LCM of Fractions 3465/305,1999/1855 is 1385307

Given numbers has no common factors except 1. So, there LCM is their product i.e 6926535

Least Common Multiple of 3465,1999 with GCF Formula

Least Common Multiple of 3465,1999 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 3465,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3465,1999) = 1

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

GCF(3465,1999) x common factors =1 x 1 = 1

LCM(3465,1999) = ( 3465 × 1999 ) / 1

LCM(3465,1999) = 6926535 / 1

LCM(3465,1999) = 6926535


Lets's calculate GCF of 305,1855

5 305, 1855
61, 371

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6926535/5

Therefore the LCM of Fractions 3465/305,1999/1855 is 1385307

Greatest Common Factor of 305,1855 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,1855 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors 305,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 305,1855 is 5.


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 3465/305, 1999/1855

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 3465/305, 1999/1855?

Answer: LCM of Numerators as per given numbers 3465/305, 1999/1855 is

LCM of Numerators i.e. for 3465,1999 is 6926535

GCF of denominators i.e. for 305,1855 is 5.

Thus, LCM of Fractions is 1385307.Finally, LCM of Fractions for 3465/305, 1999/1855 is 1385307.