Least Common Multiple of 324/812, 337/652, 514/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/812, 337/652, 514/306 quickly i.e. 14030658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/812, 337/652, 514/306 is 14030658.

LCM(324/812, 337/652, 514/306) = 14030658

LCM of 324/812, 337/652, 514/306

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 324/812,337/652,514/306

Given numbers are 324/812,337/652,514/306

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 324,337,514

Least Common Multiple of Numerators i.e. LCM of 324,337,514 is 28061316.

GCF of Denominators means GCF of 812,652,306 as per the given fractions.

GCF of 812,652,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,337,514

LCM of Fractions 324/812,337/652,514/306 is 14030658

2 324, 337, 514
162, 337, 257

∴ So the LCM of the given numbers is 2 x 162 x 337 x 257 = 28061316

Least Common Multiple of 324,337,514 with GCF Formula

Least Common Multiple of 324,337,514 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 324,337,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,337,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(324,337,514) x common factors =1 x 2 = 2

LCM(324,337,514) = ( 324 × 337 × 514 ) / 2

LCM(324,337,514) = 56122632 / 2

LCM(324,337,514) = 28061316


Lets's calculate GCF of 812,652,306

2 812, 652, 306
406, 326, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28061316/2

Therefore the LCM of Fractions 324/812,337/652,514/306 is 14030658

Greatest Common Factor of 812,652,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,652,306 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

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 812,652,306 . The biggest common factor number is the GCF number.
So the greatest common factor 812,652,306 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 324/812, 337/652, 514/306

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 324/812, 337/652, 514/306?

Answer: LCM of Numerators as per given numbers 324/812, 337/652, 514/306 is

LCM of Numerators i.e. for 324,337,514 is 28061316

GCF of denominators i.e. for 812,652,306 is 2.

Thus, LCM of Fractions is 14030658.Finally, LCM of Fractions for 324/812, 337/652, 514/306 is 14030658.