Least Common Multiple of 623/309, 705/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/309, 705/705 quickly i.e. 146405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/309, 705/705 is 146405.

LCM(623/309, 705/705) = 146405

LCM of 623/309, 705/705

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 623/309,705/705

Given numbers are 623/309,705/705

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 623,705

Least Common Multiple of Numerators i.e. LCM of 623,705 is 439215.

GCF of Denominators means GCF of 309,705 as per the given fractions.

GCF of 309,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,705

LCM of Fractions 623/309,705/705 is 146405

Given numbers has no common factors except 1. So, there LCM is their product i.e 439215

Least Common Multiple of 623,705 with GCF Formula

Least Common Multiple of 623,705 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 623,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,705) = 1

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

GCF(623,705) x common factors =1 x 1 = 1

LCM(623,705) = ( 623 × 705 ) / 1

LCM(623,705) = 439215 / 1

LCM(623,705) = 439215


Lets's calculate GCF of 309,705

3 309, 705
103, 235

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439215/3

Therefore the LCM of Fractions 623/309,705/705 is 146405

Greatest Common Factor of 309,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,705 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 309,705 . The biggest common factor number is the GCF number.
So the greatest common factor 309,705 is 3.


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 623/309, 705/705

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 623/309, 705/705?

Answer: LCM of Numerators as per given numbers 623/309, 705/705 is

LCM of Numerators i.e. for 623,705 is 439215

GCF of denominators i.e. for 309,705 is 3.

Thus, LCM of Fractions is 146405.Finally, LCM of Fractions for 623/309, 705/705 is 146405.