Least Common Multiple of 507/812, 3229/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/812, 3229/338 quickly i.e. 1637103/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/812, 3229/338 is 1637103/2.

LCM(507/812, 3229/338) = 1637103/2

LCM of 507/812, 3229/338

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 507/812,3229/338

Given numbers are 507/812,3229/338

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 507,3229

Least Common Multiple of Numerators i.e. LCM of 507,3229 is 1637103.

GCF of Denominators means GCF of 812,338 as per the given fractions.

GCF of 812,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,3229

LCM of Fractions 507/812,3229/338 is 1637103/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1637103

Least Common Multiple of 507,3229 with GCF Formula

Least Common Multiple of 507,3229 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 507,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,3229) = 1

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

GCF(507,3229) x common factors =1 x 1 = 1

LCM(507,3229) = ( 507 × 3229 ) / 1

LCM(507,3229) = 1637103 / 1

LCM(507,3229) = 1637103


Lets's calculate GCF of 812,338

2 812, 338
406, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1637103/2

Therefore the LCM of Fractions 507/812,3229/338 is 1637103/2

Greatest Common Factor of 812,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,338 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 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 812,338 . The biggest common factor number is the GCF number.
So the greatest common factor 812,338 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 507/812, 3229/338

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 507/812, 3229/338?

Answer: LCM of Numerators as per given numbers 507/812, 3229/338 is

LCM of Numerators i.e. for 507,3229 is 1637103

GCF of denominators i.e. for 812,338 is 2.

Thus, LCM of Fractions is 1637103/2.Finally, LCM of Fractions for 507/812, 3229/338 is 1637103/2.