Least Common Multiple of 3774/604, 8305/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3774/604, 8305/834 quickly i.e. 15671535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3774/604, 8305/834 is 15671535.

LCM(3774/604, 8305/834) = 15671535

LCM of 3774/604, 8305/834

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 3774/604,8305/834

Given numbers are 3774/604,8305/834

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 3774,8305

Least Common Multiple of Numerators i.e. LCM of 3774,8305 is 31343070.

GCF of Denominators means GCF of 604,834 as per the given fractions.

GCF of 604,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3774,8305

LCM of Fractions 3774/604,8305/834 is 15671535

Given numbers has no common factors except 1. So, there LCM is their product i.e 31343070

Least Common Multiple of 3774,8305 with GCF Formula

Least Common Multiple of 3774,8305 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 3774,8305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3774,8305) = 1

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

GCF(3774,8305) x common factors =1 x 1 = 1

LCM(3774,8305) = ( 3774 × 8305 ) / 1

LCM(3774,8305) = 31343070 / 1

LCM(3774,8305) = 31343070


Lets's calculate GCF of 604,834

2 604, 834
302, 417

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31343070/2

Therefore the LCM of Fractions 3774/604,8305/834 is 15671535

Greatest Common Factor of 604,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,834 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 604,834 . The biggest common factor number is the GCF number.
So the greatest common factor 604,834 is 2.


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 3774/604, 8305/834

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 3774/604, 8305/834?

Answer: LCM of Numerators as per given numbers 3774/604, 8305/834 is

LCM of Numerators i.e. for 3774,8305 is 31343070

GCF of denominators i.e. for 604,834 is 2.

Thus, LCM of Fractions is 15671535.Finally, LCM of Fractions for 3774/604, 8305/834 is 15671535.