Least Common Multiple of 322/612, 624/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/612, 624/306 quickly i.e. 100464/306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/612, 624/306 is 100464/306.

LCM(322/612, 624/306) = 100464/306

LCM of 322/612, 624/306

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 322/612,624/306

Given numbers are 322/612,624/306

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 322,624

Least Common Multiple of Numerators i.e. LCM of 322,624 is 100464.

GCF of Denominators means GCF of 612,306 as per the given fractions.

GCF of 612,306 is 306 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,624

LCM of Fractions 322/612,624/306 is 100464/306

2 322, 624
161, 312

∴ So the LCM of the given numbers is 2 x 161 x 312 = 100464

Least Common Multiple of 322,624 with GCF Formula

Least Common Multiple of 322,624 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 322,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,624) = 2

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

GCF(322,624) x common factors =2 x 1 = 2

LCM(322,624) = ( 322 × 624 ) / 2

LCM(322,624) = 200928 / 2

LCM(322,624) = 100464


Lets's calculate GCF of 612,306

2 612, 306
3 306, 153
3 102, 51
17 34, 17
2, 1

∴ So the GCF of the given numbers is 2 x 3 x 3 x 17 = 306

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100464/306

Therefore the LCM of Fractions 322/612,624/306 is 100464/306

Greatest Common Factor of 612,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,306 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 612,306 . The biggest common factor number is the GCF number.
So the greatest common factor 612,306 is 306.


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 322/612, 624/306

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 322/612, 624/306?

Answer: LCM of Numerators as per given numbers 322/612, 624/306 is

LCM of Numerators i.e. for 322,624 is 100464

GCF of denominators i.e. for 612,306 is 306.

Thus, LCM of Fractions is 100464/306.Finally, LCM of Fractions for 322/612, 624/306 is 100464/306.