Least Common Multiple of 705/59, 844/3209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/59, 844/3209 quickly i.e. 595020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/59, 844/3209 is 595020.

LCM(705/59, 844/3209) = 595020

LCM of 705/59, 844/3209

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 705/59,844/3209

Given numbers are 705/59,844/3209

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 705,844

Least Common Multiple of Numerators i.e. LCM of 705,844 is 595020.

GCF of Denominators means GCF of 59,3209 as per the given fractions.

GCF of 59,3209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,844

LCM of Fractions 705/59,844/3209 is 595020

Given numbers has no common factors except 1. So, there LCM is their product i.e 595020

Least Common Multiple of 705,844 with GCF Formula

Least Common Multiple of 705,844 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 705,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,844) = 1

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

GCF(705,844) x common factors =1 x 1 = 1

LCM(705,844) = ( 705 × 844 ) / 1

LCM(705,844) = 595020 / 1

LCM(705,844) = 595020


Lets's calculate GCF of 59,3209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595020/1

Therefore the LCM of Fractions 705/59,844/3209 is 595020

Greatest Common Factor of 59,3209 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,3209 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Greatest Common Factor

We found the factors 59,3209 . The biggest common factor number is the GCF number.
So the greatest common factor 59,3209 is 1.


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 705/59, 844/3209

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 705/59, 844/3209?

Answer: LCM of Numerators as per given numbers 705/59, 844/3209 is

LCM of Numerators i.e. for 705,844 is 595020

GCF of denominators i.e. for 59,3209 is 1.

Thus, LCM of Fractions is 595020.Finally, LCM of Fractions for 705/59, 844/3209 is 595020.