Least Common Multiple of 704/42, 859/3604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/42, 859/3604 quickly i.e. 302368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/42, 859/3604 is 302368.

LCM(704/42, 859/3604) = 302368

LCM of 704/42, 859/3604

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 704/42,859/3604

Given numbers are 704/42,859/3604

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 704,859

Least Common Multiple of Numerators i.e. LCM of 704,859 is 604736.

GCF of Denominators means GCF of 42,3604 as per the given fractions.

GCF of 42,3604 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,859

LCM of Fractions 704/42,859/3604 is 302368

Given numbers has no common factors except 1. So, there LCM is their product i.e 604736

Least Common Multiple of 704,859 with GCF Formula

Least Common Multiple of 704,859 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 704,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,859) = 1

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

GCF(704,859) x common factors =1 x 1 = 1

LCM(704,859) = ( 704 × 859 ) / 1

LCM(704,859) = 604736 / 1

LCM(704,859) = 604736


Lets's calculate GCF of 42,3604

2 42, 3604
21, 1802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604736/2

Therefore the LCM of Fractions 704/42,859/3604 is 302368

Greatest Common Factor of 42,3604 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3604 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1,2,4,17,34,53,68,106,212,901,1802,3604

Greatest Common Factor

We found the factors 42,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3604 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 704/42, 859/3604

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 704/42, 859/3604?

Answer: LCM of Numerators as per given numbers 704/42, 859/3604 is

LCM of Numerators i.e. for 704,859 is 604736

GCF of denominators i.e. for 42,3604 is 2.

Thus, LCM of Fractions is 302368.Finally, LCM of Fractions for 704/42, 859/3604 is 302368.